20004864000 has 576 divisors, whose sum is σ = 74591217792. Its totient is φ = 4718592000.

The previous prime is 20004863999. The next prime is 20004864007. The reversal of 20004864000 is 46840002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20004864007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 540671982 + ... + 540672018.

It is an arithmetic number, because the mean of its divisors is an integer number (129498642).

Almost surely, 2^20004864000 is an apocalyptic number.

20004864000 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 20004864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37295608896).

20004864000 is an abundant number, since it is smaller than the sum of its proper divisors (54586353792).

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

20004864000 is an frugal number, since it uses more digits than its factorization.

20004864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 20004864000 in words is "twenty billion, four million, eight hundred sixty-four thousand".