5642457984 has 96 divisors (see below), whose sum is σ = 16289034840. Its totient is φ = 1874764800.

The previous prime is 5642457941. The next prime is 5642458009. The reversal of 5642457984 is 4897542465.

5642457984 is a `hidden beast` number, since 5 + 64 + 2 + 4 + 579 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 5642457984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 357459 + ... + 372909.

Almost surely, 2^5642457984 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 5642457984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8144517420).

5642457984 is an abundant number, since it is smaller than the sum of its proper divisors (10646576856).

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

5642457984 is a wasteful number, since it uses less digits than its factorization.

5642457984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15788 (or 15773 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The square root of 5642457984 is about 75116.2963943244. The cubic root of 5642457984 is about 1780.2846390748.

The spelling of 5642457984 in words is "five billion, six hundred forty-two million, four hundred fifty-seven thousand, nine hundred eighty-four".