78736732416000 has 864 divisors, whose sum is σ = 296683197861960. Its totient is φ = 20083261440000.

The previous prime is 78736732415983. The next prime is 78736732416053. The reversal of 78736732416000 is 61423763787.

78736732416000 is a `hidden beast` number, since 7 + 8 + 7 + 3 + 6 + 7 + 3 + 24 + 1 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41085843710976 + 37650888705024 = 6409824^2 + 6136032^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1218783700 + ... + 1218848300.

Almost surely, 2^{78736732416000} 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 78736732416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148341598930980).

78736732416000 is an abundant number, since it is smaller than the sum of its proper divisors (217946465445960).

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

78736732416000 is a wasteful number, since it uses less digits than its factorization.

78736732416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64690 (or 64634 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 78736732416000 in words is "seventy-eight trillion, seven hundred thirty-six billion, seven hundred thirty-two million, four hundred sixteen thousand".