20033919864 has 320 divisors, whose sum is σ = 65862720000. Its totient is φ = 5571161856.

The previous prime is 20033919833. The next prime is 20033919869. The reversal of 20033919864 is 46891933002.

It is a happy number.

It is a super-3 number, since 3×20033919864³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20033919869) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40147887 + ... + 40148385.

It is an arithmetic number, because the mean of its divisors is an integer number (205821000).

Almost surely, 2^20033919864 is an apocalyptic number.

20033919864 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 20033919864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32931360000).

20033919864 is an abundant number, since it is smaller than the sum of its proper divisors (45828800136).

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

20033919864 is a wasteful number, since it uses less digits than its factorization.

20033919864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 20033919864 in words is "twenty billion, thirty-three million, nine hundred nineteen thousand, eight hundred sixty-four".