6591144960 has 440 divisors, whose sum is σ = 24681514176. Its totient is φ = 1678786560.

The previous prime is 6591144947. The next prime is 6591145003. The reversal of 6591144960 is 694411956.

It is a happy number.

6591144960 is a `hidden beast` number, since 6 + 591 + 14 + 49 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9538215 + ... + 9538905.

Almost surely, 2^6591144960 is an apocalyptic number.

6591144960 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 6591144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12340757088).

6591144960 is an abundant number, since it is smaller than the sum of its proper divisors (18090369216).

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

6591144960 is a wasteful number, since it uses less digits than its factorization.

6591144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 6591144960 is about 81185.8667503156. The cubic root of 6591144960 is about 1874.9381867622.

The spelling of 6591144960 in words is "six billion, five hundred ninety-one million, one hundred forty-four thousand, nine hundred sixty".