66567687459840 has 1408 divisors, whose sum is σ = 277441489797120. Its totient is φ = 14819271376896.

The previous prime is 66567687459799. The next prime is 66567687459841. The reversal of 66567687459840 is 4895478676566.

66567687459840 is a `hidden beast` number, since 6 + 6 + 5 + 6 + 7 + 6 + 87 + 459 + 84 + 0 = 666.

66567687459840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×66567687459840² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 66567687459840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66567687459841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15936719832 + ... + 15936724008.

It is an arithmetic number, because the mean of its divisors is an integer number (197046512640).

Almost surely, 2^{66567687459840} is an apocalyptic number.

66567687459840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66567687459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138720744898560).

66567687459840 is an abundant number, since it is smaller than the sum of its proper divisors (210873802337280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66567687459840 is a wasteful number, since it uses less digits than its factorization.

66567687459840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4644 (or 4620 counting only the distinct ones).

The product of its (nonzero) digits is 14631321600, while the sum is 81.

The spelling of 66567687459840 in words is "sixty-six trillion, five hundred sixty-seven billion, six hundred eighty-seven million, four hundred fifty-nine thousand, eight hundred forty".