680232397824 has 704 divisors, whose sum is σ = 2361372037120. Its totient is φ = 189430824960.

The previous prime is 680232397807. The next prime is 680232397841. The reversal of 680232397824 is 428793232086.

It is an interprime number because it is at equal distance from previous prime (680232397807) and next prime (680232397841).

It is a super-2 number, since 2×680232397824² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1853494089 + ... + 1853494455.

Almost surely, 2^680232397824 is an apocalyptic number.

680232397824 is a gapful number since it is divisible by the number (64) 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 680232397824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180686018560).

680232397824 is an abundant number, since it is smaller than the sum of its proper divisors (1681139639296).

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

680232397824 is a wasteful number, since it uses less digits than its factorization.

680232397824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 680232397824 in words is "six hundred eighty billion, two hundred thirty-two million, three hundred ninety-seven thousand, eight hundred twenty-four".