20734285824 has 768 divisors, whose sum is σ = 78120806400. Its totient is φ = 5294260224.

The previous prime is 20734285823. The next prime is 20734285829. The reversal of 20734285824 is 42858243702.

20734285824 is a `hidden beast` number, since 20 + 7 + 3 + 42 + 8 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 20734285824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20734285823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151345084 + ... + 151345220.

It is an arithmetic number, because the mean of its divisors is an integer number (101719800).

Almost surely, 2^20734285824 is an apocalyptic number.

20734285824 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 20734285824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39060403200).

20734285824 is an abundant number, since it is smaller than the sum of its proper divisors (57386520576).

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

20734285824 is a wasteful number, since it uses less digits than its factorization.

20734285824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 20734285824 in words is "twenty billion, seven hundred thirty-four million, two hundred eighty-five thousand, eight hundred twenty-four".