5642580960 has 192 divisors, whose sum is σ = 19808409600. Its totient is φ = 1500166656.

The previous prime is 5642580913. The next prime is 5642580967. The reversal of 5642580960 is 690852465.

5642580960 is a `hidden beast` number, since 5 + 6 + 4 + 2 + 580 + 9 + 60 = 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 (5642580967) 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, 1583661 + ... + 1587219.

It is an arithmetic number, because the mean of its divisors is an integer number (103168800).

Almost surely, 2^5642580960 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 5642580960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9904204800).

5642580960 is an abundant number, since it is smaller than the sum of its proper divisors (14165828640).

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

5642580960 is a wasteful number, since it uses less digits than its factorization.

5642580960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3950 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 5642580960 is about 75117.1149605734. The cubic root of 5642580960 is about 1780.2975726044.

The spelling of 5642580960 in words is "five billion, six hundred forty-two million, five hundred eighty thousand, nine hundred sixty".