8964693504 has 240 divisors, whose sum is σ = 29505267792. Its totient is φ = 2595815424.

The previous prime is 8964693499. The next prime is 8964693539. The reversal of 8964693504 is 4053964698.

8964693504 is a `hidden beast` number, since 8 + 9 + 6 + 46 + 93 + 504 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1013967 + ... + 1022769.

Almost surely, 2^8964693504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8964693504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14752633896).

8964693504 is an abundant number, since it is smaller than the sum of its proper divisors (20540574288).

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

8964693504 is a wasteful number, since it uses less digits than its factorization.

8964693504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8857 (or 8838 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The square root of 8964693504 is about 94682.0653767122. The cubic root of 8964693504 is about 2077.3602410034.

The spelling of 8964693504 in words is "eight billion, nine hundred sixty-four million, six hundred ninety-three thousand, five hundred four".