10864304640 has 960 divisors, whose sum is σ = 46329034752. Its totient is φ = 2300313600.

The previous prime is 10864304623. The next prime is 10864304653. The reversal of 10864304640 is 4640346801.

10864304640 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 4 + 3 + 0 + 4 + 640 = 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 10864304595 and 10864304604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 204986854 + ... + 204986906.

Almost surely, 2^10864304640 is an apocalyptic number.

10864304640 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 10864304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23164517376).

10864304640 is an abundant number, since it is smaller than the sum of its proper divisors (35464730112).

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

10864304640 is a wasteful number, since it uses less digits than its factorization.

10864304640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 10864304640 in words is "ten billion, eight hundred sixty-four million, three hundred four thousand, six hundred forty".