5642596440 has 768 divisors, whose sum is σ = 22643712000. Its totient is φ = 1204346880.

The previous prime is 5642596397. The next prime is 5642596447. The reversal of 5642596440 is 446952465.

5642596440 is a `hidden beast` number, since 56 + 4 + 2 + 596 + 4 + 4 + 0 = 666.

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 (5642596447) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63399916 + ... + 63400004.

It is an arithmetic number, because the mean of its divisors is an integer number (29484000).

Almost surely, 2^5642596440 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 5642596440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11321856000).

5642596440 is an abundant number, since it is smaller than the sum of its proper divisors (17001115560).

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

5642596440 is a wasteful number, since it uses less digits than its factorization.

5642596440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 5642596440 is about 75117.2179996038. The cubic root of 5642596440 is about 1780.2992006408.

The spelling of 5642596440 in words is "five billion, six hundred forty-two million, five hundred ninety-six thousand, four hundred forty".