20761675776 has 288 divisors, whose sum is σ = 62353942560. Its totient is φ = 6650265600.

The previous prime is 20761675769. The next prime is 20761675777. The reversal of 20761675776 is 67757616702.

20761675776 is a `hidden beast` number, since 2 + 0 + 7 + 6 + 1 + 67 + 577 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (20761675777) 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 23 ways as a sum of consecutive naturals, for example, 62723931 + ... + 62724261.

It is an arithmetic number, because the mean of its divisors is an integer number (216506745).

Almost surely, 2^20761675776 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 20761675776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31176971280).

20761675776 is an abundant number, since it is smaller than the sum of its proper divisors (41592266784).

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

20761675776 is a wasteful number, since it uses less digits than its factorization.

20761675776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 5186160, while the sum is 54.

The spelling of 20761675776 in words is "twenty billion, seven hundred sixty-one million, six hundred seventy-five thousand, seven hundred seventy-six".