684913065984 has 392 divisors, whose sum is σ = 2347199618520. Its totient is φ = 195689447424.

The previous prime is 684913065973. The next prime is 684913066027. The reversal of 684913065984 is 489560319486.

684913065984 is a `hidden beast` number, since 6 + 8 + 4 + 9 + 1 + 30 + 6 + 598 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 97844723709 + ... + 97844723715.

Almost surely, 2^684913065984 is an apocalyptic number.

684913065984 is a gapful number since it is divisible by the number (64) 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 684913065984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173599809260).

684913065984 is an abundant number, since it is smaller than the sum of its proper divisors (1662286552536).

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

684913065984 is an frugal number, since it uses more digits than its factorization.

684913065984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 684913065984 in words is "six hundred eighty-four billion, nine hundred thirteen million, sixty-five thousand, nine hundred eighty-four".