876052666944 has 784 divisors, whose sum is σ = 3274162819200. Its totient is φ = 230991989760.

The previous prime is 876052666903. The next prime is 876052666963. The reversal of 876052666944 is 449666250678.

It is a tau number, because it is divible by the number of its divisors (784).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 208036999 + ... + 208041209.

Almost surely, 2^876052666944 is an apocalyptic number.

876052666944 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 876052666944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637081409600).

876052666944 is an abundant number, since it is smaller than the sum of its proper divisors (2398110152256).

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

876052666944 is an equidigital number, since it uses as much as digits as its factorization.

876052666944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4275 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 876052666944 in words is "eight hundred seventy-six billion, fifty-two million, six hundred sixty-six thousand, nine hundred forty-four".