6444451176 has 64 divisors (see below), whose sum is σ = 16603332480. Its totient is φ = 2083153920.

The previous prime is 6444451159. The next prime is 6444451193. The reversal of 6444451176 is 6711544446.

It is an interprime number because it is at equal distance from previous prime (6444451159) and next prime (6444451193).

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, 144720 + ... + 183936.

It is an arithmetic number, because the mean of its divisors is an integer number (259427070).

Almost surely, 2^6444451176 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 6444451176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8301666240).

6444451176 is an abundant number, since it is smaller than the sum of its proper divisors (10158881304).

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

6444451176 is a wasteful number, since it uses less digits than its factorization.

6444451176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39434 (or 39430 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 6444451176 is about 80277.3391188323. The cubic root of 6444451176 is about 1860.9240384962.

The spelling of 6444451176 in words is "six billion, four hundred forty-four million, four hundred fifty-one thousand, one hundred seventy-six".