8612003664 has 180 divisors, whose sum is σ = 26654353908. Its totient is φ = 2593704960.

The previous prime is 8612003627. The next prime is 8612003677. The reversal of 8612003664 is 4663002168.

8612003664 is a `hidden beast` number, since 8 + 612 + 0 + 0 + 36 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6937557264 + 1674446400 = 83292^2 + 40920^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 3012924 + ... + 3015780.

Almost surely, 2^8612003664 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 8612003664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13327176954).

8612003664 is an abundant number, since it is smaller than the sum of its proper divisors (18042350244).

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

8612003664 is a wasteful number, since it uses less digits than its factorization.

8612003664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 8612003664 is about 92800.8818061553. The cubic root of 8612003664 is about 2049.7523923824.

The spelling of 8612003664 in words is "eight billion, six hundred twelve million, three thousand, six hundred sixty-four".