20947344768 has 512 divisors, whose sum is σ = 74027520000. Its totient is φ = 5825433600.

The previous prime is 20947344697. The next prime is 20947344773. The reversal of 20947344768 is 86744374902.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48601513 + ... + 48601943.

It is an arithmetic number, because the mean of its divisors is an integer number (144585000).

Almost surely, 2^20947344768 is an apocalyptic number.

20947344768 is a gapful number since it is divisible by the number (28) 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 20947344768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37013760000).

20947344768 is an abundant number, since it is smaller than the sum of its proper divisors (53080175232).

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

20947344768 is an equidigital number, since it uses as much as digits as its factorization.

20947344768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 20947344768 in words is "twenty billion, nine hundred forty-seven million, three hundred forty-four thousand, seven hundred sixty-eight".