66753655899840 has 2352 divisors, whose sum is σ = 300118998826080. Its totient is φ = 14010953564160.

The previous prime is 66753655899829. The next prime is 66753655900033. The reversal of 66753655899840 is 4899855635766.

66753655899840 is a `hidden beast` number, since 6 + 6 + 7 + 53 + 6 + 558 + 9 + 9 + 8 + 4 + 0 = 666.

66753655899840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2352).

It is a super-2 number, since 2×66753655899840² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 66753655899840.

It is an unprimeable number.

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 335 ways as a sum of consecutive naturals, for example, 31354463896 + ... + 31354466024.

Almost surely, 2^{66753655899840} is an apocalyptic number.

66753655899840 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 66753655899840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150059499413040).

66753655899840 is an abundant number, since it is smaller than the sum of its proper divisors (233365342926240).

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

66753655899840 is a wasteful number, since it uses less digits than its factorization.

66753655899840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 11757312000, while the sum is 81.

The spelling of 66753655899840 in words is "sixty-six trillion, seven hundred fifty-three billion, six hundred fifty-five million, eight hundred ninety-nine thousand, eight hundred forty".