19638460800 has 768 divisors, whose sum is σ = 86512320000. Its totient is φ = 4250050560.

The previous prime is 19638460799. The next prime is 19638460889. The reversal of 19638460800 is 806483691.

19638460800 is a `hidden beast` number, since 1 + 9 + 6 + 38 + 4 + 608 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11490346 + ... + 11492054.

It is an arithmetic number, because the mean of its divisors is an integer number (112646250).

Almost surely, 2^19638460800 is an apocalyptic number.

19638460800 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 19638460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43256160000).

19638460800 is an abundant number, since it is smaller than the sum of its proper divisors (66873859200).

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

19638460800 is a wasteful number, since it uses less digits than its factorization.

19638460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 19638460800 in words is "nineteen billion, six hundred thirty-eight million, four hundred sixty thousand, eight hundred".