679027760812800 has 1728 divisors, whose sum is σ = 2860183236556800. Its totient is φ = 154414787788800.

The previous prime is 679027760812781. The next prime is 679027760812811. The reversal of 679027760812800 is 8218067720976.

679027760812800 is a `hidden beast` number, since 6 + 7 + 9 + 0 + 2 + 7 + 7 + 608 + 12 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×679027760812800² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 210812715190 + ... + 210812718410.

Almost surely, 2^{679027760812800} is an apocalyptic number.

679027760812800 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 679027760812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430091618278400).

679027760812800 is an abundant number, since it is smaller than the sum of its proper divisors (2181155475744000).

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

679027760812800 is a wasteful number, since it uses less digits than its factorization.

679027760812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4099 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 679027760812800 in words is "six hundred seventy-nine trillion, twenty-seven billion, seven hundred sixty million, eight hundred twelve thousand, eight hundred".