10884464640 has 960 divisors, whose sum is σ = 47813606400. Its totient is φ = 2293235712.

The previous prime is 10884464587. The next prime is 10884464663. The reversal of 10884464640 is 4646448801.

10884464640 is a `hidden beast` number, since 108 + 84 + 4 + 6 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

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, 294174702 + ... + 294174738.

It is an arithmetic number, because the mean of its divisors is an integer number (49805840).

Almost surely, 2^10884464640 is an apocalyptic number.

10884464640 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 10884464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23906803200).

10884464640 is an abundant number, since it is smaller than the sum of its proper divisors (36929141760).

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

10884464640 is an equidigital number, since it uses as much as digits as its factorization.

10884464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 10884464640 in words is "ten billion, eight hundred eighty-four million, four hundred sixty-four thousand, six hundred forty".