10464338160 has 480 divisors, whose sum is σ = 39354981120. Its totient is φ = 2575411200.

The previous prime is 10464338153. The next prime is 10464338177. The reversal of 10464338160 is 6183346401.

It is a happy number.

10464338160 is a `hidden beast` number, since 1 + 0 + 4 + 643 + 3 + 8 + 1 + 6 + 0 = 666.

10464338160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15143415 + ... + 15144105.

It is an arithmetic number, because the mean of its divisors is an integer number (81989544).

Almost surely, 2^10464338160 is an apocalyptic number.

10464338160 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 10464338160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19677490560).

10464338160 is an abundant number, since it is smaller than the sum of its proper divisors (28890642960).

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

10464338160 is a wasteful number, since it uses less digits than its factorization.

10464338160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 10464338160 in words is "ten billion, four hundred sixty-four million, three hundred thirty-eight thousand, one hundred sixty".