20083464000 has 336 divisors, whose sum is σ = 74509920576. Its totient is φ = 5355072000.

The previous prime is 20083463963. The next prime is 20083464013. The reversal of 20083464000 is 46438002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1938835 + ... + 1949165.

It is an arithmetic number, because the mean of its divisors is an integer number (221755716).

Almost surely, 2^20083464000 is an apocalyptic number.

20083464000 is a gapful number since it is divisible by the number (20) 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 20083464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37254960288).

20083464000 is an abundant number, since it is smaller than the sum of its proper divisors (54426456576).

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

20083464000 is an equidigital number, since it uses as much as digits as its factorization.

20083464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10373 (or 10341 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 20083464000 in words is "twenty billion, eighty-three million, four hundred sixty-four thousand".