6449974272 has 594 divisors, whose sum is σ = 23486549268. Its totient is φ = 1762725888.

The previous prime is 6449974241. The next prime is 6449974313. The reversal of 6449974272 is 2724799446.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

6449974272 is a `hidden beast` number, since 6 + 449 + 97 + 42 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 280433653 + ... + 280433675.

Almost surely, 2^6449974272 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 6449974272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11743274634).

6449974272 is an abundant number, since it is smaller than the sum of its proper divisors (17036574996).

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

6449974272 is an equidigital number, since it uses as much as digits as its factorization.

6449974272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 35 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 6449974272 is about 80311.7318453537. The cubic root of 6449974272 is about 1861.4555100429.

The spelling of 6449974272 in words is "six billion, four hundred forty-nine million, nine hundred seventy-four thousand, two hundred seventy-two".