20769907968 has 216 divisors, whose sum is σ = 62677342728. Its totient is φ = 6607650816.

The previous prime is 20769907957. The next prime is 20769907973. The reversal of 20769907968 is 86970996702.

It can be written as a sum of positive squares in 4 ways, for example, as 4394098944 + 16375809024 = 66288^2 + 127968^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4515846 + ... + 4520442.

It is an arithmetic number, because the mean of its divisors is an integer number (290172883).

Almost surely, 2^20769907968 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 20769907968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31338671364).

20769907968 is an abundant number, since it is smaller than the sum of its proper divisors (41907434760).

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

20769907968 is a wasteful number, since it uses less digits than its factorization.

20769907968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4709 (or 4692 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 20769907968 in words is "twenty billion, seven hundred sixty-nine million, nine hundred seven thousand, nine hundred sixty-eight".