4472722800 has 1200 divisors, whose sum is σ = 20785461312. Its totient is φ = 895795200.

The previous prime is 4472722781. The next prime is 4472722879. The reversal of 4472722800 is 82272744.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 239 ways as a sum of consecutive naturals, for example, 109090780 + ... + 109090820.

Almost surely, 2^4472722800 is an apocalyptic number.

4472722800 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 4472722800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10392730656).

4472722800 is an abundant number, since it is smaller than the sum of its proper divisors (16312738512).

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

4472722800 is a wasteful number, since it uses less digits than its factorization.

4472722800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 4472722800 is about 66878.4180434914. The cubic root of 4472722800 is about 1647.6210344723.

The spelling of 4472722800 in words is "four billion, four hundred seventy-two million, seven hundred twenty-two thousand, eight hundred".