79593905664 has 960 divisors, whose sum is σ = 302889185280. Its totient is φ = 20185251840.

The previous prime is 79593905659. The next prime is 79593905669. The reversal of 79593905664 is 46650939597.

It is an interprime number because it is at equal distance from previous prime (79593905659) and next prime (79593905669).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79593905669) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 506967474 + ... + 506967630.

It is an arithmetic number, because the mean of its divisors is an integer number (315509568).

Almost surely, 2^79593905664 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 79593905664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151444592640).

79593905664 is an abundant number, since it is smaller than the sum of its proper divisors (223295279616).

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

79593905664 is a wasteful number, since it uses less digits than its factorization.

79593905664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 55112400, while the sum is 63.

The spelling of 79593905664 in words is "seventy-nine billion, five hundred ninety-three million, nine hundred five thousand, six hundred sixty-four".