20084332320 has 960 divisors, whose sum is σ = 81880533504. Its totient is φ = 4598415360.

The previous prime is 20084332291. The next prime is 20084332361. The reversal of 20084332320 is 2323348002.

20084332320 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 4 + 332 + 320 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 275127804 + ... + 275127876.

Almost surely, 2^20084332320 is an apocalyptic number.

20084332320 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 20084332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40940266752).

20084332320 is an abundant number, since it is smaller than the sum of its proper divisors (61796201184).

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

20084332320 is a wasteful number, since it uses less digits than its factorization.

20084332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 20084332320 in words is "twenty billion, eighty-four million, three hundred thirty-two thousand, three hundred twenty".