680212953728 has 128 divisors (see below), whose sum is σ = 1690901360640. Its totient is φ = 264796646400.

The previous prime is 680212953689. The next prime is 680212953767. The reversal of 680212953728 is 827359212086.

It is an interprime number because it is at equal distance from previous prime (680212953689) and next prime (680212953767).

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 680212953728.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12025673 + ... + 12082103.

It is an arithmetic number, because the mean of its divisors is an integer number (13210166880).

Almost surely, 2^680212953728 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 680212953728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845450680320).

680212953728 is an abundant number, since it is smaller than the sum of its proper divisors (1010688406912).

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

680212953728 is a wasteful number, since it uses less digits than its factorization.

680212953728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57686 (or 57674 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 680212953728 in words is "six hundred eighty billion, two hundred twelve million, nine hundred fifty-three thousand, seven hundred twenty-eight".