6591137664 has 192 divisors, whose sum is σ = 18486720720. Its totient is φ = 2079866880.

The previous prime is 6591137629. The next prime is 6591137671. The reversal of 6591137664 is 4667311956.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19558104 + ... + 19558440.

Almost surely, 2^6591137664 is an apocalyptic number.

6591137664 is a gapful number since it is divisible by the number (64) 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 6591137664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9243360360).

6591137664 is an abundant number, since it is smaller than the sum of its proper divisors (11895583056).

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

6591137664 is a wasteful number, since it uses less digits than its factorization.

6591137664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 426 counting only the distinct ones).

The product of its digits is 816480, while the sum is 48.

The square root of 6591137664 is about 81185.8218163738. The cubic root of 6591137664 is about 1874.9374949475.

The spelling of 6591137664 in words is "six billion, five hundred ninety-one million, one hundred thirty-seven thousand, six hundred sixty-four".