79795379664 has 1440 divisors, whose sum is σ = 330650087040. Its totient is φ = 18289152000.

The previous prime is 79795379633. The next prime is 79795379683. The reversal of 79795379664 is 46697359797.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 79795379592 and 79795379601.

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 790053214 + ... + 790053314.

It is an arithmetic number, because the mean of its divisors is an integer number (229618116).

Almost surely, 2^79795379664 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 79795379664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165325043520).

79795379664 is an abundant number, since it is smaller than the sum of its proper divisors (250854707376).

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

79795379664 is a wasteful number, since it uses less digits than its factorization.

79795379664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 166 counting only the distinct ones).

The product of its digits is 540101520, while the sum is 72.

The spelling of 79795379664 in words is "seventy-nine billion, seven hundred ninety-five million, three hundred seventy-nine thousand, six hundred sixty-four".