4457657664 has 112 divisors (see below), whose sum is σ = 13227710400. Its totient is φ = 1471938048.

The previous prime is 4457657653. The next prime is 4457657689. The reversal of 4457657664 is 4667567544.

4457657664 is a `hidden beast` number, since 4 + 4 + 5 + 7 + 6 + 576 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4457657664.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 172842 + ... + 196950.

Almost surely, 2^4457657664 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 4457657664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6613855200).

4457657664 is an abundant number, since it is smaller than the sum of its proper divisors (8770052736).

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

4457657664 is a wasteful number, since it uses less digits than its factorization.

4457657664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24237 (or 24221 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 54.

The square root of 4457657664 is about 66765.6922678107. The cubic root of 4457657664 is about 1645.7691009768.

The spelling of 4457657664 in words is "four billion, four hundred fifty-seven million, six hundred fifty-seven thousand, six hundred sixty-four".