876056912640 has 2304 divisors, whose sum is σ = 4099825766400. Its totient is φ = 174142586880.

The previous prime is 876056912603. The next prime is 876056912641. The reversal of 876056912640 is 46219650678.

876056912640 is a `hidden beast` number, since 8 + 7 + 6 + 0 + 569 + 12 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (876056912641) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 4840093350 + ... + 4840093530.

Almost surely, 2^876056912640 is an apocalyptic number.

876056912640 is a gapful number since it is divisible by the number (80) 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 876056912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049912883200).

876056912640 is an abundant number, since it is smaller than the sum of its proper divisors (3223768853760).

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

876056912640 is a wasteful number, since it uses less digits than its factorization.

876056912640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 876056912640 in words is "eight hundred seventy-six billion, fifty-six million, nine hundred twelve thousand, six hundred forty".