6241622800 has 120 divisors (see below), whose sum is σ = 17290250496. Its totient is φ = 2120939520.

The previous prime is 6241622791. The next prime is 6241622809. The reversal of 6241622800 is 82261426.

It is an interprime number because it is at equal distance from previous prime (6241622791) and next prime (6241622809).

It is not an unprimeable number, because it can be changed into a prime (6241622809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306537 + ... + 326263.

Almost surely, 2^6241622800 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 6241622800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8645125248).

6241622800 is an abundant number, since it is smaller than the sum of its proper divisors (11048627696).

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

6241622800 is a wasteful number, since it uses less digits than its factorization.

6241622800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19865 (or 19854 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 6241622800 is about 79003.9416738178. The cubic root of 6241622800 is about 1841.1923981859.

Adding to 6241622800 its product of nonzero digits (9216), we get a square (6241632016 = 79004²).

The spelling of 6241622800 in words is "six billion, two hundred forty-one million, six hundred twenty-two thousand, eight hundred".