19340786304 has 576 divisors, whose sum is σ = 69497039040. Its totient is φ = 5053612032.

The previous prime is 19340786239. The next prime is 19340786359. The reversal of 19340786304 is 40368704391.

19340786304 is a `hidden beast` number, since 1 + 9 + 3 + 4 + 0 + 7 + 8 + 630 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 19340786304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 100211232 + ... + 100211424.

Almost surely, 2^19340786304 is an apocalyptic number.

19340786304 is a gapful number since it is divisible by the number (14) 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 19340786304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34748519520).

19340786304 is an abundant number, since it is smaller than the sum of its proper divisors (50156252736).

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

19340786304 is a wasteful number, since it uses less digits than its factorization.

19340786304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

It can be divided in two parts, 19340786 and 304, that added together give a triangular number (19341090 = T₆₂₁₉).

The spelling of 19340786304 in words is "nineteen billion, three hundred forty million, seven hundred eighty-six thousand, three hundred four".