20768005440 has 672 divisors, whose sum is σ = 88846517760. Its totient is φ = 4335648768.

The previous prime is 20768005403. The next prime is 20768005481. The reversal of 20768005440 is 4450086702.

20768005440 is a `hidden beast` number, since 207 + 6 + 8 + 0 + 0 + 5 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20768005395 and 20768005404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28566357 + ... + 28567083.

It is an arithmetic number, because the mean of its divisors is an integer number (132212080).

Almost surely, 2^20768005440 is an apocalyptic number.

20768005440 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 20768005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44423258880).

20768005440 is an abundant number, since it is smaller than the sum of its proper divisors (68078512320).

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

20768005440 is a wasteful number, since it uses less digits than its factorization.

20768005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 20768005440 in words is "twenty billion, seven hundred sixty-eight million, five thousand, four hundred forty".