6637066560 has 448 divisors, whose sum is σ = 25171603200. Its totient is φ = 1640300544.

The previous prime is 6637066537. The next prime is 6637066561. The reversal of 6637066560 is 656607366.

It is a happy number.

6637066560 is a `hidden beast` number, since 6 + 637 + 0 + 6 + 6 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6637066561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10721931 + ... + 10722549.

Almost surely, 2^6637066560 is an apocalyptic number.

6637066560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6637066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12585801600).

6637066560 is an abundant number, since it is smaller than the sum of its proper divisors (18534536640).

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

6637066560 is a wasteful number, since it uses less digits than its factorization.

6637066560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 6637066560 is about 81468.1935481572. The cubic root of 6637066560 is about 1879.2824483594.

The spelling of 6637066560 in words is "six billion, six hundred thirty-seven million, sixty-six thousand, five hundred sixty".