6257693952 has 108 divisors (see below), whose sum is σ = 18245796660. Its totient is φ = 2062393344.

The previous prime is 6257693929. The next prime is 6257693957. The reversal of 6257693952 is 2593967526.

6257693952 is a `hidden beast` number, since 62 + 576 + 9 + 3 + 9 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 374190336 + 5883503616 = 19344^2 + 76704^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6257693957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189798 + ... + 220314.

Almost surely, 2^6257693952 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 6257693952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9122898330).

6257693952 is an abundant number, since it is smaller than the sum of its proper divisors (11988102708).

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

6257693952 is a wasteful number, since it uses less digits than its factorization.

6257693952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30628 (or 30611 counting only the distinct ones).

The product of its digits is 6123600, while the sum is 54.

The square root of 6257693952 is about 79105.5873627141. The cubic root of 6257693952 is about 1842.7712996764.

The spelling of 6257693952 in words is "six billion, two hundred fifty-seven million, six hundred ninety-three thousand, nine hundred fifty-two".