684902716080 has 320 divisors, whose sum is σ = 2426604687360. Its totient is φ = 158181760000.

The previous prime is 684902716067. The next prime is 684902716109. The reversal of 684902716080 is 80617209486.

684902716080 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×684902716080² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15218251 + ... + 15263189.

It is an arithmetic number, because the mean of its divisors is an integer number (7583139648).

Almost surely, 2^684902716080 is an apocalyptic number.

684902716080 is a gapful number since it is divisible by the number (60) 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 684902716080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213302343680).

684902716080 is an abundant number, since it is smaller than the sum of its proper divisors (1741701971280).

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

684902716080 is a wasteful number, since it uses less digits than its factorization.

684902716080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45240 (or 45234 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 684902716080 in words is "six hundred eighty-four billion, nine hundred two million, seven hundred sixteen thousand, eighty".