10722668544 has 520 divisors, whose sum is σ = 38692973440. Its totient is φ = 2902376448.

The previous prime is 10722668521. The next prime is 10722668581. The reversal of 10722668544 is 44586622701.

10722668544 is a `hidden beast` number, since 10 + 72 + 26 + 6 + 8 + 544 = 666.

It is a super-2 number, since 2×10722668544² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10722668544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 564350967 + ... + 564350985.

Almost surely, 2^10722668544 is an apocalyptic number.

10722668544 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 10722668544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19346486720).

10722668544 is an abundant number, since it is smaller than the sum of its proper divisors (27970304896).

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

10722668544 is an frugal number, since it uses more digits than its factorization.

10722668544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 10722668544 in words is "ten billion, seven hundred twenty-two million, six hundred sixty-eight thousand, five hundred forty-four".