5756624640 has 360 divisors, whose sum is σ = 22187930688. Its totient is φ = 1416683520.

The previous prime is 5756624611. The next prime is 5756624641. The reversal of 5756624640 is 464266575.

5756624640 is a `hidden beast` number, since 5 + 7 + 566 + 2 + 46 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5756624641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1345705 + ... + 1349975.

Almost surely, 2^5756624640 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 5756624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11093965344).

5756624640 is an abundant number, since it is smaller than the sum of its proper divisors (16431306048).

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

5756624640 is a wasteful number, since it uses less digits than its factorization.

5756624640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4317 (or 4294 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 5756624640 is about 75872.4234488394. The cubic root of 5756624640 is about 1792.2116831143.

The spelling of 5756624640 in words is "five billion, seven hundred fifty-six million, six hundred twenty-four thousand, six hundred forty".