20766729984 has 864 divisors, whose sum is σ = 80329003776. Its totient is φ = 4665507840.

The previous prime is 20766729983. The next prime is 20766730003. The reversal of 20766729984 is 48992766702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20766729983) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91483279 + ... + 91483505.

It is an arithmetic number, because the mean of its divisors is an integer number (92973384).

Almost surely, 2^20766729984 is an apocalyptic number.

20766729984 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 20766729984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40164501888).

20766729984 is an abundant number, since it is smaller than the sum of its proper divisors (59562273792).

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

20766729984 is a wasteful number, since it uses less digits than its factorization.

20766729984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 20766729984 in words is "twenty billion, seven hundred sixty-six million, seven hundred twenty-nine thousand, nine hundred eighty-four".