19214900640 has 576 divisors, whose sum is σ = 75290342400. Its totient is φ = 4423237632.

The previous prime is 19214900611. The next prime is 19214900651. The reversal of 19214900640 is 4600941291.

It is a happy number.

19214900640 is a `hidden beast` number, since 1 + 9 + 2 + 1 + 4 + 9 + 0 + 0 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 19214900595 and 19214900604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31655217 + ... + 31655823.

It is an arithmetic number, because the mean of its divisors is an integer number (130712400).

Almost surely, 2^19214900640 is an apocalyptic number.

19214900640 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 19214900640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37645171200).

19214900640 is an abundant number, since it is smaller than the sum of its proper divisors (56075441760).

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

19214900640 is a wasteful number, since it uses less digits than its factorization.

19214900640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 19214900640 in words is "nineteen billion, two hundred fourteen million, nine hundred thousand, six hundred forty".