680941105215072 has 768 divisors, whose sum is σ = 2070655293579264. Its totient is φ = 194408128512000.

The previous prime is 680941105215047. The next prime is 680941105215109. The reversal of 680941105215072 is 270512501149086.

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, 156071761563 + ... + 156071765925.

It is an arithmetic number, because the mean of its divisors is an integer number (2696165746848).

Almost surely, 2^{680941105215072} is an apocalyptic number.

680941105215072 is a gapful number since it is divisible by the number (62) 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 680941105215072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035327646789632).

680941105215072 is an abundant number, since it is smaller than the sum of its proper divisors (1389714188364192).

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

680941105215072 is a wasteful number, since it uses less digits than its factorization.

680941105215072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6135 (or 6127 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 51.

The spelling of 680941105215072 in words is "six hundred eighty trillion, nine hundred forty-one billion, one hundred five million, two hundred fifteen thousand, seventy-two".