17720428320 has 480 divisors, whose sum is σ = 73789664256. Its totient is φ = 3919104000.

The previous prime is 17720428277. The next prime is 17720428321. The reversal of 17720428320 is 2382402771.

17720428320 is a `hidden beast` number, since 177 + 204 + 283 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (17720428321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2809170 + ... + 2815470.

Almost surely, 2^17720428320 is an apocalyptic number.

17720428320 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 17720428320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36894832128).

17720428320 is an abundant number, since it is smaller than the sum of its proper divisors (56069235936).

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

17720428320 is a wasteful number, since it uses less digits than its factorization.

17720428320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6366 (or 6349 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

It can be divided in two parts, 17720 and 428320, that added together give a triangular number (446040 = T₉₄₄).

The spelling of 17720428320 in words is "seventeen billion, seven hundred twenty million, four hundred twenty-eight thousand, three hundred twenty".