680812377600 has 720 divisors, whose sum is σ = 2448740859840. Its totient is φ = 166275072000.

The previous prime is 680812377577. The next prime is 680812377671. The reversal of 680812377600 is 6773218086.

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 680812377600.

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, 701145115 + ... + 701146085.

It is an arithmetic number, because the mean of its divisors is an integer number (3401028972).

Almost surely, 2^680812377600 is an apocalyptic number.

680812377600 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 680812377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224370429920).

680812377600 is an abundant number, since it is smaller than the sum of its proper divisors (1767928482240).

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

680812377600 is a wasteful number, since it uses less digits than its factorization.

680812377600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 680812377600 in words is "six hundred eighty billion, eight hundred twelve million, three hundred seventy-seven thousand, six hundred".