680511240864 has 1440 divisors, whose sum is σ = 2673514166400. Its totient is φ = 165280186368.

The previous prime is 680511240839. The next prime is 680511240883. The reversal of 680511240864 is 468042115086.

It is a happy number.

It is a super-2 number, since 2×680511240864² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4567189462 + ... + 4567189610.

It is an arithmetic number, because the mean of its divisors is an integer number (1856607060).

Almost surely, 2^680511240864 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 680511240864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336757083200).

680511240864 is an abundant number, since it is smaller than the sum of its proper divisors (1993002925536).

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

680511240864 is a wasteful number, since it uses less digits than its factorization.

680511240864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 680511240864 in words is "six hundred eighty billion, five hundred eleven million, two hundred forty thousand, eight hundred sixty-four".