76033567977696 has 576 divisors, whose sum is σ = 264622499721216. Its totient is φ = 21015579340800.

The previous prime is 76033567977683. The next prime is 76033567977707. The reversal of 76033567977696 is 69677976533067.

76033567977696 is a `hidden beast` number, since 7 + 60 + 335 + 6 + 79 + 7 + 76 + 96 = 666.

It is a super-2 number, since 2×76033567977696² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 6062793186 + ... + 6062805726.

It is an arithmetic number, because the mean of its divisors is an integer number (459414062016).

Almost surely, 2^{76033567977696} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76033567977696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132311249860608).

76033567977696 is an abundant number, since it is smaller than the sum of its proper divisors (188588931743520).

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

76033567977696 is a wasteful number, since it uses less digits than its factorization.

76033567977696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16197 (or 16177 counting only the distinct ones).

The product of its (nonzero) digits is 11342131920, while the sum is 81.

The spelling of 76033567977696 in words is "seventy-six trillion, thirty-three billion, five hundred sixty-seven million, nine hundred seventy-seven thousand, six hundred ninety-six".