8945648640 has 352 divisors, whose sum is σ = 32066828160. Its totient is φ = 2364899328.

The previous prime is 8945648633. The next prime is 8945648653. The reversal of 8945648640 is 468465498.

8945648640 is a `hidden beast` number, since 89 + 45 + 6 + 486 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22532922 + ... + 22533318.

Almost surely, 2^8945648640 is an apocalyptic number.

8945648640 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 8945648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16033414080).

8945648640 is an abundant number, since it is smaller than the sum of its proper divisors (23121179520).

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

8945648640 is a wasteful number, since it uses less digits than its factorization.

8945648640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The square root of 8945648640 is about 94581.4391939560. The cubic root of 8945648640 is about 2075.8881292251. Note that the first 3 decimals are identical.

The spelling of 8945648640 in words is "eight billion, nine hundred forty-five million, six hundred forty-eight thousand, six hundred forty".