79993415040 has 512 divisors, whose sum is σ = 319610880000. Its totient is φ = 16532398080.

The previous prime is 79993414973. The next prime is 79993415053. The reversal of 79993415040 is 4051439997.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 29418801 + ... + 29421519.

It is an arithmetic number, because the mean of its divisors is an integer number (624240000).

Almost surely, 2^79993415040 is an apocalyptic number.

79993415040 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 79993415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159805440000).

79993415040 is an abundant number, since it is smaller than the sum of its proper divisors (239617464960).

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

79993415040 is a wasteful number, since it uses less digits than its factorization.

79993415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The spelling of 79993415040 in words is "seventy-nine billion, nine hundred ninety-three million, four hundred fifteen thousand, forty".