4461567264 has 384 divisors, whose sum is σ = 16353792000. Its totient is φ = 1149603840.

The previous prime is 4461567217. The next prime is 4461567317. The reversal of 4461567264 is 4627651644.

4461567264 is a `hidden beast` number, since 4 + 4 + 61 + 567 + 26 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13238904 + ... + 13239240.

It is an arithmetic number, because the mean of its divisors is an integer number (42588000).

Almost surely, 2^4461567264 is an apocalyptic number.

4461567264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4461567264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8176896000).

4461567264 is an abundant number, since it is smaller than the sum of its proper divisors (11892224736).

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

4461567264 is a wasteful number, since it uses less digits than its factorization.

4461567264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 559 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 4461567264 is about 66794.9643610954. The cubic root of 4461567264 is about 1646.2501023760.

The spelling of 4461567264 in words is "four billion, four hundred sixty-one million, five hundred sixty-seven thousand, two hundred sixty-four".