876925685664 has 864 divisors, whose sum is σ = 3174829572096. Its totient is φ = 224547240960.

The previous prime is 876925685653. The next prime is 876925685743. The reversal of 876925685664 is 466586529678.

876925685664 is a `hidden beast` number, since 8 + 7 + 6 + 9 + 2 + 56 + 8 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 876925685592 and 876925685601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1060369219 + ... + 1060370045.

It is an arithmetic number, because the mean of its divisors is an integer number (3674571264).

Almost surely, 2^876925685664 is an apocalyptic number.

876925685664 is a gapful number since it is divisible by the number (84) 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 876925685664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587414786048).

876925685664 is an abundant number, since it is smaller than the sum of its proper divisors (2297903886432).

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

876925685664 is a wasteful number, since it uses less digits than its factorization.

876925685664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 936 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 72.

The spelling of 876925685664 in words is "eight hundred seventy-six billion, nine hundred twenty-five million, six hundred eighty-five thousand, six hundred sixty-four".