10909476864 has 288 divisors, whose sum is σ = 37026007200. Its totient is φ = 3050864640.

The previous prime is 10909476839. The next prime is 10909476881. The reversal of 10909476864 is 46867490901.

10909476864 is a `hidden beast` number, since 1 + 0 + 90 + 9 + 476 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 10909476864.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2633707 + ... + 2637845.

It is an arithmetic number, because the mean of its divisors is an integer number (128562525).

Almost surely, 2^10909476864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10909476864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18513003600).

10909476864 is an abundant number, since it is smaller than the sum of its proper divisors (26116530336).

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

10909476864 is a wasteful number, since it uses less digits than its factorization.

10909476864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4191 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 10909476864 in words is "ten billion, nine hundred nine million, four hundred seventy-six thousand, eight hundred sixty-four".