19664122464 has 240 divisors, whose sum is σ = 66780651168. Its totient is φ = 5559902208.

The previous prime is 19664122427. The next prime is 19664122483. The reversal of 19664122464 is 46422146691.

19664122464 is a `hidden beast` number, since 1 + 9 + 6 + 64 + 122 + 464 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1754382 + ... + 1765554.

Almost surely, 2^19664122464 is an apocalyptic number.

19664122464 is a gapful number since it is divisible by the number (14) 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 19664122464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33390325584).

19664122464 is an abundant number, since it is smaller than the sum of its proper divisors (47116528704).

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

19664122464 is a wasteful number, since it uses less digits than its factorization.

19664122464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11299 (or 11282 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 19664122464 in words is "nineteen billion, six hundred sixty-four million, one hundred twenty-two thousand, four hundred sixty-four".