5638671000 has 96 divisors (see below), whose sum is σ = 19058738400. Its totient is φ = 1503643200.

The previous prime is 5638670987. The next prime is 5638671041. The reversal of 5638671000 is 1768365.

5638671000 is a `hidden beast` number, since 5 + 638 + 6 + 7 + 10 + 0 + 0 = 666.

It is a super-2 number, since 2×5638671000² = 63589221292482000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304260 + ... + 322259.

It is an arithmetic number, because the mean of its divisors is an integer number (198528525).

Almost surely, 2^5638671000 is an apocalyptic number.

5638671000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5638671000 is an abundant number, since it is smaller than the sum of its proper divisors (13420067400).

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

5638671000 is a wasteful number, since it uses less digits than its factorization.

5638671000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626546 (or 626529 counting only the distinct ones).

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

The square root of 5638671000 is about 75091.0846905277. The cubic root of 5638671000 is about 1779.8862655100.

The spelling of 5638671000 in words is "five billion, six hundred thirty-eight million, six hundred seventy-one thousand".