5956957440 has 648 divisors, whose sum is σ = 24509321928. Its totient is φ = 1331527680.

The previous prime is 5956957343. The next prime is 5956957441. The reversal of 5956957440 is 447596595.

5956957440 is a `hidden beast` number, since 5 + 9 + 5 + 69 + 574 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 392990976 + 5563966464 = 19824^2 + 74592^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5956957441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34433194 + ... + 34433366.

Almost surely, 2^5956957440 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 5956957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12254660964).

5956957440 is an abundant number, since it is smaller than the sum of its proper divisors (18552364488).

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

5956957440 is a wasteful number, since it uses less digits than its factorization.

5956957440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The square root of 5956957440 is about 77181.3283119693. The cubic root of 5956957440 is about 1812.7649650843.

The spelling of 5956957440 in words is "five billion, nine hundred fifty-six million, nine hundred fifty-seven thousand, four hundred forty".