76720069653264 has 280 divisors, whose sum is σ = 230618096015040. Its totient is φ = 24684307151616.

The previous prime is 76720069653263. The next prime is 76720069653307. The reversal of 76720069653264 is 46235696002767.

76720069653264 is a `hidden beast` number, since 7 + 6 + 7 + 2 + 0 + 0 + 6 + 96 + 532 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (76720069653263) 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 55 ways as a sum of consecutive naturals, for example, 1225470187 + ... + 1225532789.

Almost surely, 2^{76720069653264} 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 76720069653264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115309048007520).

76720069653264 is an abundant number, since it is smaller than the sum of its proper divisors (153898026361776).

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

76720069653264 is a wasteful number, since it uses less digits than its factorization.

76720069653264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66281 (or 66260 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 76720069653264 in words is "seventy-six trillion, seven hundred twenty billion, sixty-nine million, six hundred fifty-three thousand, two hundred sixty-four".