6256131640 has 128 divisors (see below), whose sum is σ = 15696011520. Its totient is φ = 2225152000.

The previous prime is 6256131593. The next prime is 6256131641. The reversal of 6256131640 is 461316526.

It is a junction number, because it is equal to n+sod(n) for n = 6256131596 and 6256131605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6256131641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3906840 + ... + 3908440.

It is an arithmetic number, because the mean of its divisors is an integer number (122625090).

Almost surely, 2^6256131640 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 6256131640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7848005760).

6256131640 is an abundant number, since it is smaller than the sum of its proper divisors (9439879880).

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

6256131640 is a wasteful number, since it uses less digits than its factorization.

6256131640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 6256131640 is about 79095.7118938821. The cubic root of 6256131640 is about 1842.6179299015.

The spelling of 6256131640 in words is "six billion, two hundred fifty-six million, one hundred thirty-one thousand, six hundred forty".