5635584864 has 648 divisors, whose sum is σ = 21528332280. Its totient is φ = 1388814336.

The previous prime is 5635584827. The next prime is 5635584917. The reversal of 5635584864 is 4684855365.

5635584864 is a `hidden beast` number, since 5 + 6 + 3 + 558 + 4 + 86 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5635584864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 40543707 + ... + 40543845.

It is an arithmetic number, because the mean of its divisors is an integer number (33222735).

Almost surely, 2^5635584864 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 5635584864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10764166140).

5635584864 is an abundant number, since it is smaller than the sum of its proper divisors (15892747416).

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

5635584864 is a wasteful number, since it uses less digits than its factorization.

5635584864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 181 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 54.

The square root of 5635584864 is about 75070.5325943542. The cubic root of 5635584864 is about 1779.5614860531.

The spelling of 5635584864 in words is "five billion, six hundred thirty-five million, five hundred eighty-four thousand, eight hundred sixty-four".