10664280000 has 420 divisors, whose sum is σ = 41684725368. Its totient is φ = 2584320000.

The previous prime is 10664279987. The next prime is 10664280061. The reversal of 10664280000 is 8246601.

10664280000 is a `hidden beast` number, since 10 + 6 + 642 + 8 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×10664280000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3958654 + ... + 3961346.

Almost surely, 2^10664280000 is an apocalyptic number.

10664280000 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 10664280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20842362684).

10664280000 is an abundant number, since it is smaller than the sum of its proper divisors (31020445368).

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

10664280000 is a wasteful number, since it uses less digits than its factorization.

10664280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 10664280000 in words is "ten billion, six hundred sixty-four million, two hundred eighty thousand".