680046757488 has 320 divisors, whose sum is σ = 2277381381120. Its totient is φ = 190260016128.

The previous prime is 680046757433. The next prime is 680046757519. The reversal of 680046757488 is 884757640086.

680046757488 is a `hidden beast` number, since 6 + 80 + 0 + 4 + 6 + 75 + 7 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 87664906 + ... + 87672662.

It is an arithmetic number, because the mean of its divisors is an integer number (7116816816).

Almost surely, 2^680046757488 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 680046757488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138690690560).

680046757488 is an abundant number, since it is smaller than the sum of its proper divisors (1597334623632).

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

680046757488 is a wasteful number, since it uses less digits than its factorization.

680046757488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8381 (or 8369 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 680046757488 in words is "six hundred eighty billion, forty-six million, seven hundred fifty-seven thousand, four hundred eighty-eight".