19783764000 has 1920 divisors, whose sum is σ = 99092657664. Its totient is φ = 3732480000.

The previous prime is 19783763999. The next prime is 19783764017. The reversal of 19783764000 is 46738791.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 324323970 + ... + 324324030.

Almost surely, 2^19783764000 is an apocalyptic number.

19783764000 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 19783764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49546328832).

19783764000 is an abundant number, since it is smaller than the sum of its proper divisors (79308893664).

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

19783764000 is a wasteful number, since it uses less digits than its factorization.

19783764000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 19783764000 in words is "nineteen billion, seven hundred eighty-three million, seven hundred sixty-four thousand".