66754742261760 has 1152 divisors, whose sum is σ = 269774708112000. Its totient is φ = 14951821344768.

The previous prime is 66754742261723. The next prime is 66754742261761. The reversal of 66754742261760 is 6716224745766.

66754742261760 is a `hidden beast` number, since 6 + 6 + 7 + 5 + 4 + 7 + 4 + 2 + 2 + 617 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×66754742261760² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66754742261761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6487966696 + ... + 6487976984.

It is an arithmetic number, because the mean of its divisors is an integer number (234179434125).

Almost surely, 2^{66754742261760} is an apocalyptic number.

66754742261760 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 66754742261760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134887354056000).

66754742261760 is an abundant number, since it is smaller than the sum of its proper divisors (203019965850240).

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

66754742261760 is a wasteful number, since it uses less digits than its factorization.

66754742261760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10531 (or 10508 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 63.

The spelling of 66754742261760 in words is "sixty-six trillion, seven hundred fifty-four billion, seven hundred forty-two million, two hundred sixty-one thousand, seven hundred sixty".