8079658481664 has 1920 divisors, whose sum is σ = 31234736332800. Its totient is φ = 2020515840000.

The previous prime is 8079658481647. The next prime is 8079658481717. The reversal of 8079658481664 is 4661848569708.

8079658481664 is a `hidden beast` number, since 8 + 0 + 7 + 96 + 58 + 481 + 6 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 = 8079658481592 and 8079658481601.

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 159 ways as a sum of consecutive naturals, for example, 53507671989 + ... + 53507672139.

It is an arithmetic number, because the mean of its divisors is an integer number (16268091840).

Almost surely, 2^{8079658481664} is an apocalyptic number.

8079658481664 is a gapful number since it is divisible by the number (84) 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 8079658481664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15617368166400).

8079658481664 is an abundant number, since it is smaller than the sum of its proper divisors (23155077851136).

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

8079658481664 is a wasteful number, since it uses less digits than its factorization.

8079658481664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 8079658481664 in words is "eight trillion, seventy-nine billion, six hundred fifty-eight million, four hundred eighty-one thousand, six hundred sixty-four".