679164864 has 112 divisors (see below), whose sum is σ = 2120042496. Its totient is φ = 187776000.

The previous prime is 679164851. The next prime is 679164881. The reversal of 679164864 is 468461976.

679164864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×679164864² = 922529824984276992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33514 + ... + 49814.

Almost surely, 2^679164864 is an apocalyptic number.

679164864 is a gapful number since it is divisible by the number (64) 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 679164864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060021248).

679164864 is an abundant number, since it is smaller than the sum of its proper divisors (1440877632).

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

679164864 is a wasteful number, since it uses less digits than its factorization.

679164864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16354 (or 16344 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 679164864 is about 26060.7916994093. The cubic root of 679164864 is about 879.0057917849.

The spelling of 679164864 in words is "six hundred seventy-nine million, one hundred sixty-four thousand, eight hundred sixty-four".