8983952640 has 432 divisors, whose sum is σ = 33748565760. Its totient is φ = 2193408000.

The previous prime is 8983952639. The next prime is 8983952657. The reversal of 8983952640 is 462593898.

8983952640 is a `hidden beast` number, since 89 + 8 + 39 + 526 + 4 + 0 = 666.

It is a super-2 number, since 2×8983952640² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 35792515 + ... + 35792765.

It is an arithmetic number, because the mean of its divisors is an integer number (78121680).

Almost surely, 2^8983952640 is an apocalyptic number.

8983952640 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 8983952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16874282880).

8983952640 is an abundant number, since it is smaller than the sum of its proper divisors (24764613120).

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

8983952640 is a wasteful number, since it uses less digits than its factorization.

8983952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 8983952640 is about 94783.7150569653. The cubic root of 8983952640 is about 2078.8467966512.

The spelling of 8983952640 in words is "eight billion, nine hundred eighty-three million, nine hundred fifty-two thousand, six hundred forty".