680624392320 has 768 divisors, whose sum is σ = 2571500131200. Its totient is φ = 165208522752.

The previous prime is 680624392319. The next prime is 680624392321. The reversal of 680624392320 is 23293426086.

It is a happy number.

680624392320 is a `hidden beast` number, since 6 + 80 + 6 + 243 + 9 + 2 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (680624392319) and next prime (680624392321).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (680624392321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 458950299 + ... + 458951781.

Almost surely, 2^680624392320 is an apocalyptic number.

680624392320 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 680624392320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285750065600).

680624392320 is an abundant number, since it is smaller than the sum of its proper divisors (1890875738880).

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

680624392320 is a wasteful number, since it uses less digits than its factorization.

680624392320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 680624392320 in words is "six hundred eighty billion, six hundred twenty-four million, three hundred ninety-two thousand, three hundred twenty".