5642636760 has 96 divisors (see below), whose sum is σ = 18358928640. Its totient is φ = 1503032832.

The previous prime is 5642636731. The next prime is 5642636861. The reversal of 5642636760 is 676362465.

5642636760 is a `hidden beast` number, since 5 + 6 + 4 + 2 + 636 + 7 + 6 + 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334857 + ... + 351303.

It is an arithmetic number, because the mean of its divisors is an integer number (191238840).

Almost surely, 2^5642636760 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 5642636760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9179464320).

5642636760 is an abundant number, since it is smaller than the sum of its proper divisors (12716291880).

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

5642636760 is a wasteful number, since it uses less digits than its factorization.

5642636760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17417 (or 17410 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 5642636760 is about 75117.4863796706. The cubic root of 5642636760 is about 1780.3034410937.

The spelling of 5642636760 in words is "five billion, six hundred forty-two million, six hundred thirty-six thousand, seven hundred sixty".