6636046560 has 768 divisors, whose sum is σ = 26775318528. Its totient is φ = 1367900160.

The previous prime is 6636046541. The next prime is 6636046561. The reversal of 6636046560 is 656406366.

It is a happy number.

It is a super-2 number, since 2×6636046560² = 88074227892975667200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6636046561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 141192457 + ... + 141192503.

It is an arithmetic number, because the mean of its divisors is an integer number (34863696).

Almost surely, 2^6636046560 is an apocalyptic number.

6636046560 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 6636046560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13387659264).

6636046560 is an abundant number, since it is smaller than the sum of its proper divisors (20139271968).

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

6636046560 is a wasteful number, since it uses less digits than its factorization.

6636046560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The square root of 6636046560 is about 81461.9331958185. The cubic root of 6636046560 is about 1879.1861725783.

The spelling of 6636046560 in words is "six billion, six hundred thirty-six million, forty-six thousand, five hundred sixty".