19065140640 has 384 divisors, whose sum is σ = 82128453120. Its totient is φ = 4022452224.

The previous prime is 19065140621. The next prime is 19065140681. The reversal of 19065140640 is 4604156091.

19065140640 is a `hidden beast` number, since 1 + 9 + 0 + 6 + 5 + 1 + 4 + 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 = 19065140595 and 19065140604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 368872 + ... + 417368.

It is an arithmetic number, because the mean of its divisors is an integer number (213876180).

Almost surely, 2^19065140640 is an apocalyptic number.

19065140640 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 19065140640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41064226560).

19065140640 is an abundant number, since it is smaller than the sum of its proper divisors (63063312480).

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

19065140640 is a wasteful number, since it uses less digits than its factorization.

19065140640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48541 (or 48527 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 19065140640 in words is "nineteen billion, sixty-five million, one hundred forty thousand, six hundred forty".