6637105872 has 80 divisors (see below), whose sum is σ = 19123716480. Its totient is φ = 2203918848.

The previous prime is 6637105841. The next prime is 6637105901. The reversal of 6637105872 is 2785017366.

6637105872 is a `hidden beast` number, since 6 + 63 + 7 + 1 + 0 + 587 + 2 = 666.

It is a super-2 number, since 2×6637105872² = 88102348712273760768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84408 + ... + 142824.

It is an arithmetic number, because the mean of its divisors is an integer number (239046456).

Almost surely, 2^6637105872 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 6637105872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9561858240).

6637105872 is an abundant number, since it is smaller than the sum of its proper divisors (12486610608).

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

6637105872 is a wasteful number, since it uses less digits than its factorization.

6637105872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58697 (or 58685 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 6637105872 is about 81468.4348198736. The cubic root of 6637105872 is about 1879.2861587438.

The spelling of 6637105872 in words is "six billion, six hundred thirty-seven million, one hundred five thousand, eight hundred seventy-two".