10608084864 has 768 divisors, whose sum is σ = 38578848000. Its totient is φ = 2842656768.

The previous prime is 10608084853. The next prime is 10608084887. The reversal of 10608084864 is 46848080601.

It is a super-2 number, since 2×10608084864² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 246699627 + ... + 246699669.

It is an arithmetic number, because the mean of its divisors is an integer number (50232875).

Almost surely, 2^10608084864 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 10608084864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19289424000).

10608084864 is an abundant number, since it is smaller than the sum of its proper divisors (27970763136).

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

10608084864 is a wasteful number, since it uses less digits than its factorization.

10608084864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 10608084864 in words is "ten billion, six hundred eight million, eighty-four thousand, eight hundred sixty-four".