680958165888 has 1536 divisors, whose sum is σ = 2785277214720. Its totient is φ = 153977241600.

The previous prime is 680958165847. The next prime is 680958165889. The reversal of 680958165888 is 888561859086.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680958165889) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1537151395 + ... + 1537151837.

It is an arithmetic number, because the mean of its divisors is an integer number (1813331520).

Almost surely, 2^680958165888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680958165888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392638607360).

680958165888 is an abundant number, since it is smaller than the sum of its proper divisors (2104319048832).

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

680958165888 is a wasteful number, since it uses less digits than its factorization.

680958165888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 265420800, while the sum is 72.

The spelling of 680958165888 in words is "six hundred eighty billion, nine hundred fifty-eight million, one hundred sixty-five thousand, eight hundred eighty-eight".