78032414617992 has 80 divisors (see below), whose sum is σ = 218565580394700. Its totient is φ = 26010499351680.

The previous prime is 78032414617973. The next prime is 78032414618003. The reversal of 78032414617992 is 29971641423087.

78032414617992 is a `hidden beast` number, since 7 + 8 + 0 + 3 + 2 + 4 + 1 + 4 + 617 + 9 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61412393599236 + 16620021018756 = 7836606^2 + 4076766^2 .

It is a super-2 number, since 2×78032414617992² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 58299142 + ... + 59622602.

Almost surely, 2^{78032414617992} is an apocalyptic number.

78032414617992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

78032414617992 is an abundant number, since it is smaller than the sum of its proper divisors (140533165776708).

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

78032414617992 is a wasteful number, since it uses less digits than its factorization.

78032414617992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414468 (or 1414455 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 78032414617992 in words is "seventy-eight trillion, thirty-two billion, four hundred fourteen million, six hundred seventeen thousand, nine hundred ninety-two".