79579815840 has 288 divisors, whose sum is σ = 326696872320. Its totient is φ = 17232279552.

The previous prime is 79579815803. The next prime is 79579815841. The reversal of 79579815840 is 4851897597.

79579815840 is a `hidden beast` number, since 7 + 9 + 579 + 8 + 1 + 58 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (79579815841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16239 + ... + 399278.

It is an arithmetic number, because the mean of its divisors is an integer number (1134364140).

Almost surely, 2^79579815840 is an apocalyptic number.

79579815840 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 79579815840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163348436160).

79579815840 is an abundant number, since it is smaller than the sum of its proper divisors (247117056480).

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

79579815840 is a wasteful number, since it uses less digits than its factorization.

79579815840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415564 (or 415553 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 63.

The spelling of 79579815840 in words is "seventy-nine billion, five hundred seventy-nine million, eight hundred fifteen thousand, eight hundred forty".