684308931408 has 180 divisors, whose sum is σ = 1981568288700. Its totient is φ = 220439052288.

The previous prime is 684308931407. The next prime is 684308931409. The reversal of 684308931408 is 804139803486.

684308931408 is a `hidden beast` number, since 68 + 430 + 8 + 9 + 3 + 140 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (684308931407) and next prime (684308931409).

It can be written as a sum of positive squares in 6 ways, for example, as 35856144 + 684273075264 = 5988^2 + 827208^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684308931407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29361616 + ... + 29384912.

It is an arithmetic number, because the mean of its divisors is an integer number (11008712715).

Almost surely, 2^684308931408 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 684308931408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990784144350).

684308931408 is an abundant number, since it is smaller than the sum of its proper divisors (1297259357292).

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

684308931408 is a wasteful number, since it uses less digits than its factorization.

684308931408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23534 (or 23488 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 684308931408 in words is "six hundred eighty-four billion, three hundred eight million, nine hundred thirty-one thousand, four hundred eight".