10664685720 has 512 divisors, whose sum is σ = 40061952000. Its totient is φ = 2505738240.

The previous prime is 10664685719. The next prime is 10664685737. The reversal of 10664685720 is 2758646601.

10664685720 is a `hidden beast` number, since 10 + 6 + 6 + 4 + 68 + 572 + 0 = 666.

It is a super-2 number, since 2×10664685720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46570566 + ... + 46570794.

It is an arithmetic number, because the mean of its divisors is an integer number (78246000).

Almost surely, 2^10664685720 is an apocalyptic number.

10664685720 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 10664685720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20030976000).

10664685720 is an abundant number, since it is smaller than the sum of its proper divisors (29397266280).

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

10664685720 is a wasteful number, since it uses less digits than its factorization.

10664685720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 10664685720 in words is "ten billion, six hundred sixty-four million, six hundred eighty-five thousand, seven hundred twenty".