20736746496 has 440 divisors, whose sum is σ = 66072984120. Its totient is φ = 6465650688.

The previous prime is 20736746491. The next prime is 20736746521. The reversal of 20736746496 is 69464763702.

20736746496 is a `hidden beast` number, since 20 + 73 + 6 + 7 + 464 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4311760896 + 16424985600 = 65664^2 + 128160^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20736746491) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 88998796 + ... + 88999028.

It is an arithmetic number, because the mean of its divisors is an integer number (150165873).

Almost surely, 2^20736746496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20736746496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33036492060).

20736746496 is an abundant number, since it is smaller than the sum of its proper divisors (45336237624).

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

20736746496 is a wasteful number, since it uses less digits than its factorization.

20736746496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

It can be divided in two parts, 20736 and 746496, that multiplied together give a square (15479341056 = 124416²).

The spelling of 20736746496 in words is "twenty billion, seven hundred thirty-six million, seven hundred forty-six thousand, four hundred ninety-six".