5638761000 has 128 divisors (see below), whose sum is σ = 19547798400. Its totient is φ = 1503662400.

The previous prime is 5638760993. The next prime is 5638761047. The reversal of 5638761000 is 1678365.

5638761000 is a `hidden beast` number, since 5 + 6 + 38 + 7 + 610 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77422 + ... + 131421.

It is an arithmetic number, because the mean of its divisors is an integer number (152717175).

Almost surely, 2^5638761000 is an apocalyptic number.

5638761000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5638761000 is an abundant number, since it is smaller than the sum of its proper divisors (13909037400).

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

5638761000 is a wasteful number, since it uses less digits than its factorization.

5638761000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208873 (or 208853 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5638761000 is about 75091.6839603428. The cubic root of 5638761000 is about 1779.8957351712.

The spelling of 5638761000 in words is "five billion, six hundred thirty-eight million, seven hundred sixty-one thousand".