8876335104 has 672 divisors, whose sum is σ = 33395107200. Its totient is φ = 2341011456.

The previous prime is 8876335067. The next prime is 8876335123. The reversal of 8876335104 is 4015336788.

8876335104 is a `hidden beast` number, since 8 + 8 + 7 + 633 + 5 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 8876335104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 682795002 + ... + 682795014.

It is an arithmetic number, because the mean of its divisors is an integer number (49695100).

Almost surely, 2^8876335104 is an apocalyptic number.

8876335104 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 8876335104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16697553600).

8876335104 is an abundant number, since it is smaller than the sum of its proper divisors (24518772096).

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

8876335104 is an frugal number, since it uses more digits than its factorization.

8876335104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 8876335104 is about 94214.3041368984. The cubic root of 8876335104 is about 2070.5126896437.

The spelling of 8876335104 in words is "eight billion, eight hundred seventy-six million, three hundred thirty-five thousand, one hundred four".