79397256240 has 560 divisors, whose sum is σ = 295351334400. Its totient is φ = 19782517248.

The previous prime is 79397256233. The next prime is 79397256247. The reversal of 79397256240 is 4265279397.

79397256240 is a `hidden beast` number, since 7 + 9 + 3 + 9 + 7 + 2 + 5 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (79397256233) and next prime (79397256247).

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

It is not an unprimeable number, because it can be changed into a prime (79397256247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 87537867 + ... + 87538773.

Almost surely, 2^79397256240 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 79397256240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147675667200).

79397256240 is an abundant number, since it is smaller than the sum of its proper divisors (215954078160).

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

79397256240 is a wasteful number, since it uses less digits than its factorization.

79397256240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 79397256240 in words is "seventy-nine billion, three hundred ninety-seven million, two hundred fifty-six thousand, two hundred forty".