17922072960 has 640 divisors, whose sum is σ = 71258758560. Its totient is φ = 4255580160.

The previous prime is 17922072953. The next prime is 17922073007. The reversal of 17922072960 is 6927022971.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 30222424 + ... + 30223016.

Almost surely, 2^17922072960 is an apocalyptic number.

17922072960 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 17922072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35629379280).

17922072960 is an abundant number, since it is smaller than the sum of its proper divisors (53336685600).

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

17922072960 is a wasteful number, since it uses less digits than its factorization.

17922072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 17922072960 in words is "seventeen billion, nine hundred twenty-two million, seventy-two thousand, nine hundred sixty".