19869632640 has 1536 divisors, whose sum is σ = 90251884800. Its totient is φ = 4087480320.

The previous prime is 19869632599. The next prime is 19869632693. The reversal of 19869632640 is 4623696891.

19869632640 is a `hidden beast` number, since 198 + 6 + 96 + 326 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 462084459 + ... + 462084501.

Almost surely, 2^19869632640 is an apocalyptic number.

19869632640 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 19869632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45125942400).

19869632640 is an abundant number, since it is smaller than the sum of its proper divisors (70382252160).

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

19869632640 is a wasteful number, since it uses less digits than its factorization.

19869632640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 19869632640 in words is "nineteen billion, eight hundred sixty-nine million, six hundred thirty-two thousand, six hundred forty".