4460575680 has 336 divisors, whose sum is σ = 16912157184. Its totient is φ = 1070069760.

The previous prime is 4460575667. The next prime is 4460575687. The reversal of 4460575680 is 865750644.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4460575687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3262357 + ... + 3263723.

Almost surely, 2^4460575680 is an apocalyptic number.

4460575680 is a gapful number since it is divisible by the number (40) 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 4460575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8456078592).

4460575680 is an abundant number, since it is smaller than the sum of its proper divisors (12451581504).

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

4460575680 is a wasteful number, since it uses less digits than its factorization.

4460575680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 4460575680 is about 66787.5413531596. The cubic root of 4460575680 is about 1646.1281335615.

The spelling of 4460575680 in words is "four billion, four hundred sixty million, five hundred seventy-five thousand, six hundred eighty".