76956157336320 has 864 divisors, whose sum is σ = 271175235851520. Its totient is φ = 20147469189120.

The previous prime is 76956157336309. The next prime is 76956157336321. The reversal of 76956157336320 is 2363375165967.

76956157336320 is a `hidden beast` number, since 7 + 6 + 9 + 5 + 6 + 1 + 573 + 36 + 3 + 20 = 666.

It is a super-2 number, since 2×76956157336320² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (76956157336321) 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 95 ways as a sum of consecutive naturals, for example, 66170384059 + ... + 66170385221.

It is an arithmetic number, because the mean of its divisors is an integer number (313860226680).

Almost surely, 2^{76956157336320} 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 76956157336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135587617925760).

76956157336320 is an abundant number, since it is smaller than the sum of its proper divisors (194219078515200).

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

76956157336320 is a wasteful number, since it uses less digits than its factorization.

76956157336320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 128595600, while the sum is 63.

The spelling of 76956157336320 in words is "seventy-six trillion, nine hundred fifty-six billion, one hundred fifty-seven million, three hundred thirty-six thousand, three hundred twenty".