78592643712 has 320 divisors, whose sum is σ = 255849660000. Its totient is φ = 23751014400.

The previous prime is 78592643699. The next prime is 78592643749. The reversal of 78592643712 is 21734629587.

It is a happy number.

78592643712 is a `hidden beast` number, since 7 + 8 + 5 + 9 + 264 + 371 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 56909262 + ... + 56910642.

Almost surely, 2^78592643712 is an apocalyptic number.

78592643712 is a gapful number since it is divisible by the number (72) 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 78592643712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127924830000).

78592643712 is an abundant number, since it is smaller than the sum of its proper divisors (177257016288).

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

78592643712 is a wasteful number, since it uses less digits than its factorization.

78592643712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1896 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 78592643712 in words is "seventy-eight billion, five hundred ninety-two million, six hundred forty-three thousand, seven hundred twelve".