78956734896 has 360 divisors, whose sum is σ = 250341633360. Its totient is φ = 23069961216.

The previous prime is 78956734873. The next prime is 78956734949. The reversal of 78956734896 is 69843765987.

78956734896 is a `hidden beast` number, since 7 + 89 + 5 + 67 + 3 + 489 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 568033995 + ... + 568034133.

It is an arithmetic number, because the mean of its divisors is an integer number (695393426).

Almost surely, 2^78956734896 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 78956734896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125170816680).

78956734896 is an abundant number, since it is smaller than the sum of its proper divisors (171384898464).

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

78956734896 is a wasteful number, since it uses less digits than its factorization.

78956734896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 253 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 72.

The spelling of 78956734896 in words is "seventy-eight billion, nine hundred fifty-six million, seven hundred thirty-four thousand, eight hundred ninety-six".