79038685440 has 864 divisors, whose sum is σ = 333360832896. Its totient is φ = 17677025280.

The previous prime is 79038685417. The next prime is 79038685457. The reversal of 79038685440 is 4458683097.

79038685440 is a `hidden beast` number, since 7 + 9 + 0 + 38 + 68 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×79038685440² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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, 44477832 + ... + 44479608.

Almost surely, 2^79038685440 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 79038685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166680416448).

79038685440 is an abundant number, since it is smaller than the sum of its proper divisors (254322147456).

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

79038685440 is a wasteful number, since it uses less digits than its factorization.

79038685440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

It can be divided in two parts, 790386 and 85440, that added together give a triangular number (875826 = T₁₃₂₃).

The spelling of 79038685440 in words is "seventy-nine billion, thirty-eight million, six hundred eighty-five thousand, four hundred forty".