6620224400 has 120 divisors (see below), whose sum is σ = 16542769320. Its totient is φ = 2542919680.

The previous prime is 6620224363. The next prime is 6620224423. The reversal of 6620224400 is 44220266.

It can be written as a sum of positive squares in 12 ways, for example, as 1111022224 + 5509202176 = 33332^2 + 74224^2 .

It is a super-2 number, since 2×6620224400² = 87654742212710720000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6620224400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2283752 + ... + 2286648.

It is an arithmetic number, because the mean of its divisors is an integer number (137856411).

Almost surely, 2^6620224400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6620224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8271384660).

6620224400 is an abundant number, since it is smaller than the sum of its proper divisors (9922544920).

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

6620224400 is a wasteful number, since it uses less digits than its factorization.

6620224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3141 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 6620224400 is about 81364.7614142634. The cubic root of 6620224400 is about 1877.6914851540.

Adding to 6620224400 its reverse (44220266), we get a palindrome (6664444666).

The spelling of 6620224400 in words is "six billion, six hundred twenty million, two hundred twenty-four thousand, four hundred".