8664634440 has 384 divisors, whose sum is σ = 35281509120. Its totient is φ = 1791590400.

The previous prime is 8664634439. The next prime is 8664634463. The reversal of 8664634440 is 444364668.

8664634440 is a `hidden beast` number, since 8 + 6 + 6 + 4 + 634 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×8664634440² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 6679872 + ... + 6681168.

It is an arithmetic number, because the mean of its divisors is an integer number (91878930).

Almost surely, 2^8664634440 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 8664634440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17640754560).

8664634440 is an abundant number, since it is smaller than the sum of its proper divisors (26616874680).

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

8664634440 is a wasteful number, since it uses less digits than its factorization.

8664634440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The square root of 8664634440 is about 93084.0181771286. The cubic root of 8664634440 is about 2053.9194845354.

The spelling of 8664634440 in words is "eight billion, six hundred sixty-four million, six hundred thirty-four thousand, four hundred forty".