8940052800 has 504 divisors, whose sum is σ = 37498885632. Its totient is φ = 1976832000.

The previous prime is 8940052799. The next prime is 8940052811. The reversal of 8940052800 is 82500498.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 3123370 + ... + 3126230.

Almost surely, 2^8940052800 is an apocalyptic number.

8940052800 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 8940052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18749442816).

8940052800 is an abundant number, since it is smaller than the sum of its proper divisors (28558832832).

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

8940052800 is a wasteful number, since it uses less digits than its factorization.

8940052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2927 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 8940052800 is about 94551.8524408697. The cubic root of 8940052800 is about 2075.4551902141.

The spelling of 8940052800 in words is "eight billion, nine hundred forty million, fifty-two thousand, eight hundred".