680875766784 has 528 divisors, whose sum is σ = 2140188610560. Its totient is φ = 215797063680.

The previous prime is 680875766777. The next prime is 680875766797. The reversal of 680875766784 is 487667578086.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1550969637 + ... + 1550970075.

It is an arithmetic number, because the mean of its divisors is an integer number (4053387520).

Almost surely, 2^680875766784 is an apocalyptic number.

680875766784 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 680875766784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070094305280).

680875766784 is an abundant number, since it is smaller than the sum of its proper divisors (1459312843776).

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

680875766784 is a wasteful number, since it uses less digits than its factorization.

680875766784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 758661120, while the sum is 72.

The spelling of 680875766784 in words is "six hundred eighty billion, eight hundred seventy-five million, seven hundred sixty-six thousand, seven hundred eighty-four".