79734493440 has 864 divisors, whose sum is σ = 340929388800. Its totient is φ = 17138515968.

The previous prime is 79734493357. The next prime is 79734493451. The reversal of 79734493440 is 4439443797.

79734493440 is a `hidden beast` number, since 7 + 9 + 73 + 44 + 93 + 440 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67172527 + ... + 67173713.

It is an arithmetic number, because the mean of its divisors is an integer number (394594200).

Almost surely, 2^79734493440 is an apocalyptic number.

79734493440 is a gapful number since it is divisible by the number (70) 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 79734493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170464694400).

79734493440 is an abundant number, since it is smaller than the sum of its proper divisors (261194895360).

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

79734493440 is a wasteful number, since it uses less digits than its factorization.

79734493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 79734493440 in words is "seventy-nine billion, seven hundred thirty-four million, four hundred ninety-three thousand, four hundred forty".