17640809472 has 264 divisors, whose sum is σ = 55560820320. Its totient is φ = 4932894720.

The previous prime is 17640809467. The next prime is 17640809479. The reversal of 17640809472 is 27490804671.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×17640809472² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (17640809479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5709304 + ... + 5712392.

Almost surely, 2^17640809472 is an apocalyptic number.

17640809472 is a gapful number since it is divisible by the number (12) 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 17640809472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27780410160).

17640809472 is an abundant number, since it is smaller than the sum of its proper divisors (37920010848).

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

17640809472 is a wasteful number, since it uses less digits than its factorization.

17640809472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3149 (or 3118 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 17640809472 in words is "seventeen billion, six hundred forty million, eight hundred nine thousand, four hundred seventy-two".