6590728960 has 144 divisors (see below), whose sum is σ = 16412175360. Its totient is φ = 2533109760.

The previous prime is 6590728909. The next prime is 6590728979. The reversal of 6590728960 is 698270956.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 6590728898 and 6590728907.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6467331 + ... + 6468349.

It is an arithmetic number, because the mean of its divisors is an integer number (113973440).

Almost surely, 2^6590728960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6590728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8206087680).

6590728960 is an abundant number, since it is smaller than the sum of its proper divisors (9821446400).

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

6590728960 is a wasteful number, since it uses less digits than its factorization.

6590728960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The square root of 6590728960 is about 81183.3046876019. The cubic root of 6590728960 is about 1874.8987403686.

The spelling of 6590728960 in words is "six billion, five hundred ninety million, seven hundred twenty-eight thousand, nine hundred sixty".