6454945728 has 560 divisors, whose sum is σ = 24241012224. Its totient is φ = 1649756160.

The previous prime is 6454945711. The next prime is 6454945733. The reversal of 6454945728 is 8275494546.

6454945728 is a `hidden beast` number, since 64 + 5 + 4 + 9 + 4 + 572 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41114226 + ... + 41114382.

Almost surely, 2^6454945728 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 6454945728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12120506112).

6454945728 is an abundant number, since it is smaller than the sum of its proper divisors (17786066496).

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

6454945728 is a wasteful number, since it uses less digits than its factorization.

6454945728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 283 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The square root of 6454945728 is about 80342.6768784810. The cubic root of 6454945728 is about 1861.9336394732.

The spelling of 6454945728 in words is "six billion, four hundred fifty-four million, nine hundred forty-five thousand, seven hundred twenty-eight".