6400332288 has 240 divisors, whose sum is σ = 21895473600. Its totient is φ = 1828417536.

The previous prime is 6400332269. The next prime is 6400332293. The reversal of 6400332288 is 8822330046.

6400332288 is a `hidden beast` number, since 6 + 40 + 0 + 332 + 288 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 867238 + ... + 874586.

It is an arithmetic number, because the mean of its divisors is an integer number (91231140).

Almost surely, 2^6400332288 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 6400332288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10947736800).

6400332288 is an abundant number, since it is smaller than the sum of its proper divisors (15495141312).

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

6400332288 is an frugal number, since it uses more digits than its factorization.

6400332288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7389 (or 7361 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6400332288 is about 80002.0767730438. The cubic root of 6400332288 is about 1856.6676650613.

The spelling of 6400332288 in words is "six billion, four hundred million, three hundred thirty-two thousand, two hundred eighty-eight".