679704825600 has 1296 divisors, whose sum is σ = 2730098262528. Its totient is φ = 166657720320.

The previous prime is 679704825559. The next prime is 679704825601. The reversal of 679704825600 is 6528407976.

679704825600 is a `hidden beast` number, since 6 + 7 + 9 + 7 + 0 + 4 + 8 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679704825601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1242604527 + ... + 1242605073.

Almost surely, 2^679704825600 is an apocalyptic number.

679704825600 is a gapful number since it is divisible by the number (60) 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 679704825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365049131264).

679704825600 is an abundant number, since it is smaller than the sum of its proper divisors (2050393436928).

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

679704825600 is a wasteful number, since it uses less digits than its factorization.

679704825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 679704825600 in words is "six hundred seventy-nine billion, seven hundred four million, eight hundred twenty-five thousand, six hundred".