17979822720 has 448 divisors, whose sum is σ = 65319647400. Its totient is φ = 4729798656.

The previous prime is 17979822671. The next prime is 17979822733. The reversal of 17979822720 is 2722897971.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7804662336 + 10175160384 = 88344^2 + 100872^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 41523624 + ... + 41524056.

Almost surely, 2^17979822720 is an apocalyptic number.

17979822720 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 17979822720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32659823700).

17979822720 is an abundant number, since it is smaller than the sum of its proper divisors (47339824680).

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

17979822720 is an frugal number, since it uses more digits than its factorization.

17979822720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 17979822720 in words is "seventeen billion, nine hundred seventy-nine million, eight hundred twenty-two thousand, seven hundred twenty".