6456331332 has 144 divisors (see below), whose sum is σ = 18997602624. Its totient is φ = 1827072000.

The previous prime is 6456331319. The next prime is 6456331337. The reversal of 6456331332 is 2331336546.

6456331332 is a `hidden beast` number, since 6 + 4 + 5 + 633 + 13 + 3 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6456331337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 878232 + ... + 885552.

It is an arithmetic number, because the mean of its divisors is an integer number (131927796).

Almost surely, 2^6456331332 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 6456331332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9498801312).

6456331332 is an abundant number, since it is smaller than the sum of its proper divisors (12541271292).

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

6456331332 is a wasteful number, since it uses less digits than its factorization.

6456331332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7490 (or 7485 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

The square root of 6456331332 is about 80351.2995041151. The cubic root of 6456331332 is about 1862.0668560914.

Adding to 6456331332 its reverse (2331336546), we get a palindrome (8787667878).

The spelling of 6456331332 in words is "six billion, four hundred fifty-six million, three hundred thirty-one thousand, three hundred thirty-two".