6636544320 has 672 divisors, whose sum is σ = 26694188928. Its totient is φ = 1387266048.

The previous prime is 6636544267. The next prime is 6636544339. The reversal of 6636544320 is 234456366.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×6636544320² = 88087441022648524800, 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 95 ways as a sum of consecutive naturals, for example, 34386144 + ... + 34386336.

Almost surely, 2^6636544320 is an apocalyptic number.

6636544320 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 6636544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13347094464).

6636544320 is an abundant number, since it is smaller than the sum of its proper divisors (20057644608).

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

6636544320 is a wasteful number, since it uses less digits than its factorization.

6636544320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 39.

The square root of 6636544320 is about 81464.9883078614. The cubic root of 6636544320 is about 1879.2331563918.

It can be divided in two parts, 66365 and 44320, that added together give a triangular number (110685 = T₄₇₀).

The spelling of 6636544320 in words is "six billion, six hundred thirty-six million, five hundred forty-four thousand, three hundred twenty".