4372552800 has 864 divisors, whose sum is σ = 19948723200. Its totient is φ = 904780800.

The previous prime is 4372552787. The next prime is 4372552819. The reversal of 4372552800 is 82552734.

4372552800 is a `hidden beast` number, since 4 + 372 + 5 + 5 + 280 + 0 = 666.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18295081 + ... + 18295319.

It is an arithmetic number, because the mean of its divisors is an integer number (23088800).

Almost surely, 2^4372552800 is an apocalyptic number.

4372552800 is a gapful number since it is divisible by the number (40) 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 4372552800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9974361600).

4372552800 is an abundant number, since it is smaller than the sum of its proper divisors (15576170400).

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

4372552800 is a wasteful number, since it uses less digits than its factorization.

4372552800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 4372552800 is about 66125.2810958109. The cubic root of 4372552800 is about 1635.2281476090.

The spelling of 4372552800 in words is "four billion, three hundred seventy-two million, five hundred fifty-two thousand, eight hundred".