19206008640 has 1512 divisors, whose sum is σ = 90354012840. Its totient is φ = 3706601472.

The previous prime is 19206008623. The next prime is 19206008651. The reversal of 19206008640 is 4680060291.

19206008640 is a `hidden beast` number, since 1 + 9 + 2 + 0 + 6 + 0 + 0 + 8 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 366799104 + 18839209536 = 19152^2 + 137256^2 .

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 = 19206008595 and 19206008604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 662276146 + ... + 662276174.

It is an arithmetic number, because the mean of its divisors is an integer number (59757945).

Almost surely, 2^19206008640 is an apocalyptic number.

19206008640 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 19206008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45177006420).

19206008640 is an abundant number, since it is smaller than the sum of its proper divisors (71148004200).

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

19206008640 is a wasteful number, since it uses less digits than its factorization.

19206008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 19206008640 in words is "nineteen billion, two hundred six million, eight thousand, six hundred forty".