20283576768 has 1120 divisors, whose sum is σ = 81511485440. Its totient is φ = 4837294080.

The previous prime is 20283576751. The next prime is 20283576791. The reversal of 20283576768 is 86767538202.

20283576768 is a `hidden beast` number, since 2 + 0 + 2 + 8 + 3 + 576 + 7 + 68 = 666.

It is a super-2 number, since 2×20283576768² (a number of 21 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 277857180 + ... + 277857252.

It is an arithmetic number, because the mean of its divisors is an integer number (72778112).

Almost surely, 2^20283576768 is an apocalyptic number.

20283576768 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 20283576768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40755742720).

20283576768 is an abundant number, since it is smaller than the sum of its proper divisors (61227908672).

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

20283576768 is a wasteful number, since it uses less digits than its factorization.

20283576768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 20283576768 in words is "twenty billion, two hundred eighty-three million, five hundred seventy-six thousand, seven hundred sixty-eight".