679915684900 has 27 divisors (see below), whose sum is σ = 1475434929619. Its totient is φ = 271962975680.

The previous prime is 679915684783. The next prime is 679915684901. The reversal of 679915684900 is 9486519976.

The square root of 679915684900 is 824570.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 41463547876 + 638452137024 = 203626^2 + 799032^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (679915684901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8204472 + ... + 8286928.

Almost surely, 2^679915684900 is an apocalyptic number.

679915684900 is the 824570-th square number.

It is an amenable number.

679915684900 is an abundant number, since it is smaller than the sum of its proper divisors (795519244719).

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

679915684900 is an frugal number, since it uses more digits than its factorization.

679915684900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164928 (or 82464 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 64.

Multiplying 679915684900 by its sum of digits (64), we get a square (43514603833600 = 6596560²).

The spelling of 679915684900 in words is "six hundred seventy-nine billion, nine hundred fifteen million, six hundred eighty-four thousand, nine hundred".