5583754656 has 384 divisors, whose sum is σ = 18271008000. Its totient is φ = 1651249152.

The previous prime is 5583754639. The next prime is 5583754679. The reversal of 5583754656 is 6564573855.

It is a happy number.

5583754656 is a `hidden beast` number, since 5 + 583 + 7 + 5 + 4 + 6 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17614210 + ... + 17614526.

It is an arithmetic number, because the mean of its divisors is an integer number (47580750).

Almost surely, 2^5583754656 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 5583754656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9135504000).

5583754656 is an abundant number, since it is smaller than the sum of its proper divisors (12687253344).

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

5583754656 is a wasteful number, since it uses less digits than its factorization.

5583754656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 407 counting only the distinct ones).

The product of its digits is 15120000, while the sum is 54.

The square root of 5583754656 is about 74724.5251306423. The cubic root of 5583754656 is about 1774.0891610383.

The spelling of 5583754656 in words is "five billion, five hundred eighty-three million, seven hundred fifty-four thousand, six hundred fifty-six".