6122570400 has 216 divisors, whose sum is σ = 22860154044. Its totient is φ = 1536614400.

The previous prime is 6122570357. The next prime is 6122570413. The reversal of 6122570400 is 40752216.

6122570400 is a `hidden beast` number, since 6 + 1 + 2 + 257 + 0 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3691291536 + 2431278864 = 60756^2 + 49308^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97390 + ... + 147410.

Almost surely, 2^6122570400 is an apocalyptic number.

6122570400 is a gapful number since it is divisible by the number (60) 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 6122570400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11430077022).

6122570400 is an abundant number, since it is smaller than the sum of its proper divisors (16737583644).

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

6122570400 is a wasteful number, since it uses less digits than its factorization.

6122570400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50064 (or 50048 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 6122570400 is about 78246.8555278741. The cubic root of 6122570400 is about 1829.4109005908.

The spelling of 6122570400 in words is "six billion, one hundred twenty-two million, five hundred seventy thousand, four hundred".