679413600000 has 648 divisors, whose sum is σ = 2466055912320. Its totient is φ = 179880960000.

The previous prime is 679413599993. The next prime is 679413600059. The reversal of 679413600000 is 6314976.

679413600000 is a `hidden beast` number, since 6 + 7 + 9 + 41 + 3 + 600 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1418399761 + ... + 1418400239.

It is an arithmetic number, because the mean of its divisors is an integer number (3805641840).

Almost surely, 2^679413600000 is an apocalyptic number.

679413600000 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 679413600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233027956160).

679413600000 is an abundant number, since it is smaller than the sum of its proper divisors (1786642312320).

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

679413600000 is an equidigital number, since it uses as much as digits as its factorization.

679413600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Adding to 679413600000 its reverse (6314976), we get a palindrome (679419914976).

The spelling of 679413600000 in words is "six hundred seventy-nine billion, four hundred thirteen million, six hundred thousand".