10662606720 has 768 divisors, whose sum is σ = 41902660800. Its totient is φ = 2579890176.

The previous prime is 10662606701. The next prime is 10662606761. The reversal of 10662606720 is 2760626601.

10662606720 is a `hidden beast` number, since 1 + 0 + 6 + 626 + 0 + 6 + 7 + 20 = 666.

10662606720 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 2×10662606720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 97822026 + ... + 97822134.

Almost surely, 2^10662606720 is an apocalyptic number.

10662606720 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 10662606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20951330400).

10662606720 is an abundant number, since it is smaller than the sum of its proper divisors (31240054080).

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

10662606720 is a wasteful number, since it uses less digits than its factorization.

10662606720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 10662606720 in words is "ten billion, six hundred sixty-two million, six hundred six thousand, seven hundred twenty".