8644668480 has 336 divisors, whose sum is σ = 34149548160. Its totient is φ = 1966178304.

The previous prime is 8644668467. The next prime is 8644668533. The reversal of 8644668480 is 848664468.

8644668480 is a `hidden beast` number, since 8 + 64 + 46 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 4575376 + ... + 4577264.

It is an arithmetic number, because the mean of its divisors is an integer number (101635560).

Almost surely, 2^8644668480 is an apocalyptic number.

8644668480 is a gapful number since it is divisible by the number (80) 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 8644668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17074774080).

8644668480 is an abundant number, since it is smaller than the sum of its proper divisors (25504879680).

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

8644668480 is a wasteful number, since it uses less digits than its factorization.

8644668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The square root of 8644668480 is about 92976.7093416410. The cubic root of 8644668480 is about 2052.3406522673.

The spelling of 8644668480 in words is "eight billion, six hundred forty-four million, six hundred sixty-eight thousand, four hundred eighty".