876642731040 has 96 divisors (see below), whose sum is σ = 2787232472640. Its totient is φ = 231586601984.

The previous prime is 876642731023. The next prime is 876642731099. The reversal of 876642731040 is 40137246678.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×876642731040³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 8482935 + ... + 8585654.

It is an arithmetic number, because the mean of its divisors is an integer number (29033671590).

Almost surely, 2^876642731040 is an apocalyptic number.

876642731040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

876642731040 is an abundant number, since it is smaller than the sum of its proper divisors (1910589741600).

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

876642731040 is a wasteful number, since it uses less digits than its factorization.

876642731040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17068714 (or 17068706 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 876642731040 in words is "eight hundred seventy-six billion, six hundred forty-two million, seven hundred thirty-one thousand, forty".