76723630724160 has 1344 divisors, whose sum is σ = 326593611601920. Its totient is φ = 16134399590400.

The previous prime is 76723630724149. The next prime is 76723630724197. The reversal of 76723630724160 is 6142703632767.

76723630724160 is a `hidden beast` number, since 7 + 6 + 7 + 2 + 36 + 307 + 241 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×76723630724160² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 76723630724097 and 76723630724106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2734548852 + ... + 2734576908.

Almost surely, 2^{76723630724160} is an apocalyptic number.

76723630724160 is a gapful number since it is divisible by the number (70) 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 76723630724160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296805800960).

76723630724160 is an abundant number, since it is smaller than the sum of its proper divisors (249869980877760).

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

76723630724160 is a wasteful number, since it uses less digits than its factorization.

76723630724160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28284 (or 28271 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 54.

The spelling of 76723630724160 in words is "seventy-six trillion, seven hundred twenty-three billion, six hundred thirty million, seven hundred twenty-four thousand, one hundred sixty".