8652268800 has 864 divisors, whose sum is σ = 37957570560. Its totient is φ = 1885593600.

The previous prime is 8652268787. The next prime is 8652268829. The reversal of 8652268800 is 88622568.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27820645 + ... + 27820955.

Almost surely, 2^8652268800 is an apocalyptic number.

8652268800 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 8652268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18978785280).

8652268800 is an abundant number, since it is smaller than the sum of its proper divisors (29305301760).

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

8652268800 is a wasteful number, since it uses less digits than its factorization.

8652268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 8652268800 is about 93017.5725333660. The cubic root of 8652268800 is about 2052.9419429794.

The spelling of 8652268800 in words is "eight billion, six hundred fifty-two million, two hundred sixty-eight thousand, eight hundred".