79357307040 has 768 divisors, whose sum is σ = 313332364800. Its totient is φ = 18826629120.

The previous prime is 79357307033. The next prime is 79357307063. The reversal of 79357307040 is 4070375397.

79357307040 is a `hidden beast` number, since 7 + 9 + 3 + 573 + 0 + 70 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 204003166 + ... + 204003554.

It is an arithmetic number, because the mean of its divisors is an integer number (407984850).

Almost surely, 2^79357307040 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 79357307040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156666182400).

79357307040 is an abundant number, since it is smaller than the sum of its proper divisors (233975057760).

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

79357307040 is a wasteful number, since it uses less digits than its factorization.

79357307040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 45.

The spelling of 79357307040 in words is "seventy-nine billion, three hundred fifty-seven million, three hundred seven thousand, forty".