20769027840 has 864 divisors, whose sum is σ = 85955530752. Its totient is φ = 4571136000.

The previous prime is 20769027827. The next prime is 20769027847. The reversal of 20769027840 is 4872096702.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20769027847) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 66781285 + ... + 66781595.

It is an arithmetic number, because the mean of its divisors is an integer number (99485568).

Almost surely, 2^20769027840 is an apocalyptic number.

20769027840 is a gapful number since it is divisible by the number (20) 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 20769027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42977765376).

20769027840 is an abundant number, since it is smaller than the sum of its proper divisors (65186502912).

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

20769027840 is a wasteful number, since it uses less digits than its factorization.

20769027840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 20769027840 in words is "twenty billion, seven hundred sixty-nine million, twenty-seven thousand, eight hundred forty".