19904766336 has 960 divisors, whose sum is σ = 78507955680. Its totient is φ = 4873125888.

The previous prime is 19904766317. The next prime is 19904766379. The reversal of 19904766336 is 63366740991.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 272667996 + ... + 272668068.

Almost surely, 2^19904766336 is an apocalyptic number.

19904766336 is a gapful number since it is divisible by the number (16) 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 19904766336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39253977840).

19904766336 is an abundant number, since it is smaller than the sum of its proper divisors (58603189344).

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

19904766336 is a wasteful number, since it uses less digits than its factorization.

19904766336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 19904766336 in words is "nineteen billion, nine hundred four million, seven hundred sixty-six thousand, three hundred thirty-six".