76720672813824 has 2304 divisors, whose sum is σ = 281114426880000. Its totient is φ = 20394891804672.

The previous prime is 76720672813781. The next prime is 76720672813831. The reversal of 76720672813824 is 42831827602767.

76720672813824 is a `hidden beast` number, since 76 + 7 + 206 + 7 + 281 + 3 + 82 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 101348312454 + ... + 101348313210.

It is an arithmetic number, because the mean of its divisors is an integer number (122011470000).

Almost surely, 2^{76720672813824} 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 76720672813824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140557213440000).

76720672813824 is an abundant number, since it is smaller than the sum of its proper divisors (204393754066176).

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

76720672813824 is a wasteful number, since it uses less digits than its factorization.

76720672813824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 76720672813824 in words is "seventy-six trillion, seven hundred twenty billion, six hundred seventy-two million, eight hundred thirteen thousand, eight hundred twenty-four".