5587642368 has 576 divisors, whose sum is σ = 20932853760. Its totient is φ = 1393459200.

The previous prime is 5587642243. The next prime is 5587642373. The reversal of 5587642368 is 8632467855.

5587642368 is a `hidden beast` number, since 558 + 7 + 6 + 4 + 23 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43997121 + ... + 43997247.

It is an arithmetic number, because the mean of its divisors is an integer number (36341760).

Almost surely, 2^5587642368 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 5587642368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10466426880).

5587642368 is an abundant number, since it is smaller than the sum of its proper divisors (15345211392).

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

5587642368 is a wasteful number, since it uses less digits than its factorization.

5587642368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 181 counting only the distinct ones).

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

The square root of 5587642368 is about 74750.5342322047. The cubic root of 5587642368 is about 1774.5008044599.

The spelling of 5587642368 in words is "five billion, five hundred eighty-seven million, six hundred forty-two thousand, three hundred sixty-eight".