684058836825 has 810 divisors, whose sum is σ = 1699428262554. Its totient is φ = 271045232640.

The previous prime is 684058836767. The next prime is 684058836847. The reversal of 684058836825 is 528638850486.

684058836825 is a `hidden beast` number, since 6 + 8 + 40 + 588 + 3 + 6 + 8 + 2 + 5 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 616589293824 + 67469543001 = 785232^2 + 259749^2 .

It is not a de Polignac number, because 684058836825 - 2⁹ = 684058836313 is a prime.

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

It is an unprimeable number.

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 809 ways as a sum of consecutive naturals, for example, 6053617969 + ... + 6053618081.

Almost surely, 2^684058836825 is an apocalyptic number.

684058836825 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

684058836825 is an abundant number, since it is smaller than the sum of its proper divisors (1015369425729).

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

684058836825 is a wasteful number, since it uses less digits than its factorization.

684058836825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 63.

The spelling of 684058836825 in words is "six hundred eighty-four billion, fifty-eight million, eight hundred thirty-six thousand, eight hundred twenty-five".