20333873664 has 160 divisors (see below), whose sum is σ = 64820226240. Its totient is φ = 6256521216.

The previous prime is 20333873657. The next prime is 20333873687. The reversal of 20333873664 is 46637833302.

20333873664 is a `hidden beast` number, since 203 + 3 + 3 + 87 + 366 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123139 + ... + 236285.

It is an arithmetic number, because the mean of its divisors is an integer number (405126414).

Almost surely, 2^20333873664 is an apocalyptic number.

20333873664 is a gapful number since it is divisible by the number (24) 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 20333873664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32410113120).

20333873664 is an abundant number, since it is smaller than the sum of its proper divisors (44486352576).

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

20333873664 is a wasteful number, since it uses less digits than its factorization.

20333873664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113187 (or 113165 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 20333873664 in words is "twenty billion, three hundred thirty-three million, eight hundred seventy-three thousand, six hundred sixty-four".