6637575966 has 96 divisors (see below), whose sum is σ = 15757149312. Its totient is φ = 1858127040.

The previous prime is 6637575961. The next prime is 6637575983. The reversal of 6637575966 is 6695757366.

6637575966 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6637575961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4155480 + ... + 4157076.

It is an arithmetic number, because the mean of its divisors is an integer number (164136972).

Almost surely, 2^6637575966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6637575966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7878574656).

6637575966 is an abundant number, since it is smaller than the sum of its proper divisors (9119573346).

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

6637575966 is a wasteful number, since it uses less digits than its factorization.

6637575966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894 (or 1887 counting only the distinct ones).

The product of its digits is 42865200, while the sum is 60.

The square root of 6637575966 is about 81471.3198984772. The cubic root of 6637575966 is about 1879.3305264903.

The spelling of 6637575966 in words is "six billion, six hundred thirty-seven million, five hundred seventy-five thousand, nine hundred sixty-six".