5642873766 has 96 divisors (see below), whose sum is σ = 13181875200. Its totient is φ = 1740553920.

The previous prime is 5642873729. The next prime is 5642873777. The reversal of 5642873766 is 6673782465.

5642873766 is a `hidden beast` number, since 564 + 2 + 8 + 7 + 3 + 76 + 6 = 666.

It is a super-2 number, since 2×5642873766² = 63684048678022045512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1729845 + ... + 1733103.

It is an arithmetic number, because the mean of its divisors is an integer number (137311200).

Almost surely, 2^5642873766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5642873766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6590937600).

5642873766 is an abundant number, since it is smaller than the sum of its proper divisors (7539001434).

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

5642873766 is a wasteful number, since it uses less digits than its factorization.

5642873766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 3431 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The square root of 5642873766 is about 75119.0639318675. The cubic root of 5642873766 is about 1780.3283665973.

The spelling of 5642873766 in words is "five billion, six hundred forty-two million, eight hundred seventy-three thousand, seven hundred sixty-six".