684471812640 has 1152 divisors, whose sum is σ = 2783039938560. Its totient is φ = 138378240000.

The previous prime is 684471812627. The next prime is 684471812653. The reversal of 684471812640 is 46218174486.

It is an interprime number because it is at equal distance from previous prime (684471812627) and next prime (684471812653).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3243942135 + ... + 3243942345.

It is an arithmetic number, because the mean of its divisors is an integer number (2415833280).

Almost surely, 2^684471812640 is an apocalyptic number.

684471812640 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 684471812640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391519969280).

684471812640 is an abundant number, since it is smaller than the sum of its proper divisors (2098568125920).

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

684471812640 is a wasteful number, since it uses less digits than its factorization.

684471812640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 684471812640 in words is "six hundred eighty-four billion, four hundred seventy-one million, eight hundred twelve thousand, six hundred forty".