10664244864 has 640 divisors, whose sum is σ = 39810355200. Its totient is φ = 2759049216.

The previous prime is 10664244859. The next prime is 10664244887. The reversal of 10664244864 is 46844246601.

10664244864 is a `hidden beast` number, since 106 + 6 + 42 + 448 + 64 = 666.

10664244864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10664244864² (a number of 21 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 83970369 + ... + 83970495.

It is an arithmetic number, because the mean of its divisors is an integer number (62203680).

Almost surely, 2^10664244864 is an apocalyptic number.

10664244864 is a gapful number since it is divisible by the number (14) 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 10664244864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19905177600).

10664244864 is an abundant number, since it is smaller than the sum of its proper divisors (29146110336).

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

10664244864 is a wasteful number, since it uses less digits than its factorization.

10664244864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 10664244864 in words is "ten billion, six hundred sixty-four million, two hundred forty-four thousand, eight hundred sixty-four".