6590440956 has 96 divisors (see below), whose sum is σ = 17230187520. Its totient is φ = 1943481600.

The previous prime is 6590440867. The next prime is 6590440957.

6590440956 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6590440957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1119990 + ... + 1125858.

It is an arithmetic number, because the mean of its divisors is an integer number (179481120).

Almost surely, 2^6590440956 is an apocalyptic number.

6590440956 is a gapful number since it is divisible by the number (66) 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 6590440956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8615093760).

6590440956 is an abundant number, since it is smaller than the sum of its proper divisors (10639746564).

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

6590440956 is a wasteful number, since it uses less digits than its factorization.

6590440956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6115 (or 6113 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The square root of 6590440956 is about 81181.5308798744. The cubic root of 6590440956 is about 1874.8714299752.

The spelling of 6590440956 in words is "six billion, five hundred ninety million, four hundred forty thousand, nine hundred fifty-six".