684008638040 has 256 divisors, whose sum is σ = 1999499040000. Its totient is φ = 209011138560.

The previous prime is 684008638013. The next prime is 684008638067. The reversal of 684008638040 is 40836800486.

It is an interprime number because it is at equal distance from previous prime (684008638013) and next prime (684008638067).

It is a congruent number.

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, 5106320 + ... + 5238560.

It is an arithmetic number, because the mean of its divisors is an integer number (7810543125).

Almost surely, 2^684008638040 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 684008638040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999749520000).

684008638040 is an abundant number, since it is smaller than the sum of its proper divisors (1315490401960).

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

684008638040 is a wasteful number, since it uses less digits than its factorization.

684008638040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132315 (or 132297 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 47.

The spelling of 684008638040 in words is "six hundred eighty-four billion, eight million, six hundred thirty-eight thousand, forty".