679604644800 has 420 divisors, whose sum is σ = 2500373298456. Its totient is φ = 181059840000.

The previous prime is 679604644781. The next prime is 679604644801. The reversal of 679604644800 is 8446406976.

679604644800 is a `hidden beast` number, since 67 + 9 + 60 + 46 + 4 + 480 + 0 = 666.

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 (679604644801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 209043175 + ... + 209046425.

Almost surely, 2^679604644800 is an apocalyptic number.

679604644800 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 679604644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250186649228).

679604644800 is an abundant number, since it is smaller than the sum of its proper divisors (1820768653656).

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

679604644800 is a wasteful number, since it uses less digits than its factorization.

679604644800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4898 (or 4874 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 679604644800 in words is "six hundred seventy-nine billion, six hundred four million, six hundred forty-four thousand, eight hundred".