19182320640 has 704 divisors, whose sum is σ = 79893918720. Its totient is φ = 4273274880.

The previous prime is 19182320579. The next prime is 19182320671. The reversal of 19182320640 is 4602328191.

19182320640 is a `hidden beast` number, since 1 + 9 + 1 + 8 + 2 + 3 + 2 + 0 + 640 = 666.

It is a super-2 number, since 2×19182320640² (a number of 21 digits) contains 22 as substring.

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 = 19182320595 and 19182320604.

It is a congruent number.

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, 41610010 + ... + 41610470.

It is an arithmetic number, because the mean of its divisors is an integer number (113485680).

Almost surely, 2^19182320640 is an apocalyptic number.

19182320640 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 19182320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39946959360).

19182320640 is an abundant number, since it is smaller than the sum of its proper divisors (60711598080).

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

19182320640 is a wasteful number, since it uses less digits than its factorization.

19182320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 521 counting only the distinct ones).

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

The spelling of 19182320640 in words is "nineteen billion, one hundred eighty-two million, three hundred twenty thousand, six hundred forty".