679423180800 has 1632 divisors, whose sum is σ = 2912502476800. Its totient is φ = 138726604800.

The previous prime is 679423180789. The next prime is 679423180889. The reversal of 679423180800 is 8081324976.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 679423180800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21916876785 + ... + 21916876815.

Almost surely, 2^679423180800 is an apocalyptic number.

679423180800 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 679423180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456251238400).

679423180800 is an abundant number, since it is smaller than the sum of its proper divisors (2233079296000).

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

679423180800 is an equidigital number, since it uses as much as digits as its factorization.

679423180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 679423180800 in words is "six hundred seventy-nine billion, four hundred twenty-three million, one hundred eighty thousand, eight hundred".