8864934624 has 384 divisors, whose sum is σ = 32094074880. Its totient is φ = 2318118912.

The previous prime is 8864934607. The next prime is 8864934641. The reversal of 8864934624 is 4264394688.

8864934624 is a `hidden beast` number, since 8 + 8 + 6 + 4 + 9 + 3 + 4 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (8864934607) and next prime (8864934641).

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10771077 + ... + 10771899.

It is an arithmetic number, because the mean of its divisors is an integer number (83578320).

Almost surely, 2^8864934624 is an apocalyptic number.

8864934624 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 8864934624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16047037440).

8864934624 is an abundant number, since it is smaller than the sum of its proper divisors (23229140256).

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

8864934624 is a wasteful number, since it uses less digits than its factorization.

8864934624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 985 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The square root of 8864934624 is about 94153.7817827834. The cubic root of 8864934624 is about 2069.6258765159.

The spelling of 8864934624 in words is "eight billion, eight hundred sixty-four million, nine hundred thirty-four thousand, six hundred twenty-four".