680053302720 has 896 divisors, whose sum is σ = 2697553152000. Its totient is φ = 159849676800.

The previous prime is 680053302713. The next prime is 680053302757. The reversal of 680053302720 is 27203350086.

680053302720 is a `hidden beast` number, since 6 + 80 + 0 + 533 + 0 + 27 + 20 = 666.

680053302720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 775430922 + ... + 775431798.

It is an arithmetic number, because the mean of its divisors is an integer number (3010662000).

Almost surely, 2^680053302720 is an apocalyptic number.

680053302720 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 680053302720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348776576000).

680053302720 is an abundant number, since it is smaller than the sum of its proper divisors (2017499849280).

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

680053302720 is a wasteful number, since it uses less digits than its factorization.

680053302720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 680053302720 in words is "six hundred eighty billion, fifty-three million, three hundred two thousand, seven hundred twenty".