19664131320 has 256 divisors, whose sum is σ = 69237504000. Its totient is φ = 4950471168.

The previous prime is 19664131261. The next prime is 19664131337. The reversal of 19664131320 is 2313146691.

19664131320 is a `hidden beast` number, since 1 + 9 + 6 + 641 + 3 + 1 + 3 + 2 + 0 = 666.

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

It is a congruent number.

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, 6503329 + ... + 6506351.

It is an arithmetic number, because the mean of its divisors is an integer number (270459000).

Almost surely, 2^19664131320 is an apocalyptic number.

19664131320 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 19664131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34618752000).

19664131320 is an abundant number, since it is smaller than the sum of its proper divisors (49573372680).

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

19664131320 is a wasteful number, since it uses less digits than its factorization.

19664131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3379 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 19664131320 in words is "nineteen billion, six hundred sixty-four million, one hundred thirty-one thousand, three hundred twenty".