684328993920 has 1152 divisors, whose sum is σ = 2858523333120. Its totient is φ = 149785067520.

The previous prime is 684328993837. The next prime is 684328993961. The reversal of 684328993920 is 29399823486.

684328993920 is a `hidden beast` number, since 68 + 432 + 8 + 99 + 39 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 425841757 + ... + 425843363.

It is an arithmetic number, because the mean of its divisors is an integer number (2481357060).

Almost surely, 2^684328993920 is an apocalyptic number.

684328993920 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 684328993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429261666560).

684328993920 is an abundant number, since it is smaller than the sum of its proper divisors (2174194339200).

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

684328993920 is a wasteful number, since it uses less digits than its factorization.

684328993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 684328993920 in words is "six hundred eighty-four billion, three hundred twenty-eight million, nine hundred ninety-three thousand, nine hundred twenty".