10464706560 has 720 divisors, whose sum is σ = 43032245760. Its totient is φ = 2146959360.

The previous prime is 10464706547. The next prime is 10464706561. The reversal of 10464706560 is 6560746401.

It is not an unprimeable number, because it can be changed into a prime (10464706561) 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, 132464601 + ... + 132464679.

It is an arithmetic number, because the mean of its divisors is an integer number (59767008).

Almost surely, 2^10464706560 is an apocalyptic number.

10464706560 is a gapful number since it is divisible by the number (10) 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 10464706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21516122880).

10464706560 is an abundant number, since it is smaller than the sum of its proper divisors (32567539200).

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

10464706560 is an equidigital number, since it uses as much as digits as its factorization.

10464706560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 10464706560 in words is "ten billion, four hundred sixty-four million, seven hundred six thousand, five hundred sixty".