682904678400 has 936 divisors, whose sum is σ = 2872004956704. Its totient is φ = 151820697600.

The previous prime is 682904678387. The next prime is 682904678419. The reversal of 682904678400 is 4876409286.

682904678400 is a `hidden beast` number, since 6 + 82 + 90 + 4 + 6 + 78 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 238692970 + ... + 238695830.

It is an arithmetic number, because the mean of its divisors is an integer number (3068381364).

Almost surely, 2^682904678400 is an apocalyptic number.

682904678400 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 682904678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436002478352).

682904678400 is an abundant number, since it is smaller than the sum of its proper divisors (2189100278304).

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

682904678400 is a wasteful number, since it uses less digits than its factorization.

682904678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2945 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 682904678400 in words is "six hundred eighty-two billion, nine hundred four million, six hundred seventy-eight thousand, four hundred".