5583932640 has 960 divisors, whose sum is σ = 24342861312. Its totient is φ = 1186099200.

The previous prime is 5583932593. The next prime is 5583932671. The reversal of 5583932640 is 462393855.

5583932640 is a `hidden beast` number, since 5 + 583 + 9 + 3 + 2 + 64 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 42625375 + ... + 42625505.

Almost surely, 2^5583932640 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 5583932640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12171430656).

5583932640 is an abundant number, since it is smaller than the sum of its proper divisors (18758928672).

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

5583932640 is a wasteful number, since it uses less digits than its factorization.

5583932640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 5583932640 is about 74725.7160554518. The cubic root of 5583932640 is about 1774.1080107281.

The spelling of 5583932640 in words is "five billion, five hundred eighty-three million, nine hundred thirty-two thousand, six hundred forty".