17072968320 has 512 divisors, whose sum is σ = 64260000000. Its totient is φ = 4271947776.

The previous prime is 17072968313. The next prime is 17072968337. The reversal of 17072968320 is 2386927071.

17072968320 is a `hidden beast` number, since 170 + 72 + 96 + 8 + 320 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48919506 + ... + 48919854.

Almost surely, 2^17072968320 is an apocalyptic number.

17072968320 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 17072968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32130000000).

17072968320 is an abundant number, since it is smaller than the sum of its proper divisors (47187031680).

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

17072968320 is a wasteful number, since it uses less digits than its factorization.

17072968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 17072968320 in words is "seventeen billion, seventy-two million, nine hundred sixty-eight thousand, three hundred twenty".