76180451616 has 96 divisors (see below), whose sum is σ = 222243134400. Its totient is φ = 25387752960.

The previous prime is 76180451593. The next prime is 76180451621. The reversal of 76180451616 is 61615408167.

76180451616 is a `hidden beast` number, since 7 + 6 + 180 + 451 + 6 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×76180451616² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5746756 + ... + 5759996.

It is an arithmetic number, because the mean of its divisors is an integer number (2315032650).

Almost surely, 2^76180451616 is an apocalyptic number.

It is an amenable number.

76180451616 is an abundant number, since it is smaller than the sum of its proper divisors (146062682784).

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

76180451616 is a wasteful number, since it uses less digits than its factorization.

76180451616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19919 (or 19905 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 76180451616 in words is "seventy-six billion, one hundred eighty million, four hundred fifty-one thousand, six hundred sixteen".