4660400560 has 160 divisors (see below), whose sum is σ = 11708179200. Its totient is φ = 1719843840.

The previous prime is 4660400551. The next prime is 4660400567. The reversal of 4660400560 is 650040664.

It is not an unprimeable number, because it can be changed into a prime (4660400567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14079595 + ... + 14079925.

It is an arithmetic number, because the mean of its divisors is an integer number (73176120).

Almost surely, 2^4660400560 is an apocalyptic number.

4660400560 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 4660400560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5854089600).

4660400560 is an abundant number, since it is smaller than the sum of its proper divisors (7047778640).

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

4660400560 is a wasteful number, since it uses less digits than its factorization.

4660400560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 4660400560 is about 68267.1264958472. The cubic root of 4660400560 is about 1670.3510276002.

The spelling of 4660400560 in words is "four billion, six hundred sixty million, four hundred thousand, five hundred sixty".