79507021440 has 1024 divisors, whose sum is σ = 328682188800. Its totient is φ = 15872163840.

The previous prime is 79507021409. The next prime is 79507021519. The reversal of 79507021440 is 4412070597.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 571992891 + ... + 571993029.

It is an arithmetic number, because the mean of its divisors is an integer number (320978700).

Almost surely, 2^79507021440 is an apocalyptic number.

79507021440 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 79507021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164341094400).

79507021440 is an abundant number, since it is smaller than the sum of its proper divisors (249175167360).

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

79507021440 is a wasteful number, since it uses less digits than its factorization.

79507021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 79507021440 in words is "seventy-nine billion, five hundred seven million, twenty-one thousand, four hundred forty".