79031665440 has 384 divisors, whose sum is σ = 340445790720. Its totient is φ = 16674729984.

The previous prime is 79031665429. The next prime is 79031665457. The reversal of 79031665440 is 4456613097.

79031665440 is a `hidden beast` number, since 7 + 90 + 3 + 16 + 6 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 292602 + ... + 493638.

It is an arithmetic number, because the mean of its divisors is an integer number (886577580).

Almost surely, 2^79031665440 is an apocalyptic number.

79031665440 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 79031665440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170222895360).

79031665440 is an abundant number, since it is smaller than the sum of its proper divisors (261414125280).

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

79031665440 is a wasteful number, since it uses less digits than its factorization.

79031665440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201081 (or 201067 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 79031665440 in words is "seventy-nine billion, thirty-one million, six hundred sixty-five thousand, four hundred forty".