4457496064 has 160 divisors (see below), whose sum is σ = 10885374720. Its totient is φ = 1780973568.

The previous prime is 4457496059. The next prime is 4457496073. The reversal of 4457496064 is 4606947544.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4457495999 and 4457496017.

It is a congruent number.

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, 4561944 + ... + 4562920.

It is an arithmetic number, because the mean of its divisors is an integer number (68033592).

Almost surely, 2^4457496064 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 4457496064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5442687360).

4457496064 is an abundant number, since it is smaller than the sum of its proper divisors (6427878656).

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

4457496064 is an equidigital number, since it uses as much as digits as its factorization.

4457496064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 49.

The square root of 4457496064 is about 66764.4820544577. The cubic root of 4457496064 is about 1645.7492131403.

The spelling of 4457496064 in words is "four billion, four hundred fifty-seven million, four hundred ninety-six thousand, sixty-four".