8953964640 has 192 divisors, whose sum is σ = 31392990720. Its totient is φ = 2383603200.

The previous prime is 8953964611. The next prime is 8953964707. The reversal of 8953964640 is 464693598.

8953964640 is a `hidden beast` number, since 8 + 9 + 539 + 64 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 3139215 + ... + 3142065.

It is an arithmetic number, because the mean of its divisors is an integer number (163505160).

Almost surely, 2^8953964640 is an apocalyptic number.

8953964640 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 8953964640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15696495360).

8953964640 is an abundant number, since it is smaller than the sum of its proper divisors (22439026080).

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

8953964640 is a wasteful number, since it uses less digits than its factorization.

8953964640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The square root of 8953964640 is about 94625.3910956251. The cubic root of 8953964640 is about 2076.5311882065.

The spelling of 8953964640 in words is "eight billion, nine hundred fifty-three million, nine hundred sixty-four thousand, six hundred forty".