6403132944 has 200 divisors, whose sum is σ = 20029889880. Its totient is φ = 1963118592.

The previous prime is 6403132927. The next prime is 6403133017. The reversal of 6403132944 is 4492313046.

It is a happy number.

6403132944 is a `hidden beast` number, since 640 + 3 + 1 + 3 + 2 + 9 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 644144400 + 5758988544 = 25380^2 + 75888^2 .

It is a super-2 number, since 2×6403132944² = 82000222997076214272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 6403132899 and 6403132908.

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, 6553384 + ... + 6554360.

Almost surely, 2^6403132944 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 6403132944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10014944940).

6403132944 is an abundant number, since it is smaller than the sum of its proper divisors (13626756936).

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

6403132944 is a wasteful number, since it uses less digits than its factorization.

6403132944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 6403132944 is about 80019.5785042636. The cubic root of 6403132944 is about 1856.9384389801.

The spelling of 6403132944 in words is "six billion, four hundred three million, one hundred thirty-two thousand, nine hundred forty-four".