20767703040 has 432 divisors, whose sum is σ = 82442924928. Its totient is φ = 4737466368.

The previous prime is 20767703003. The next prime is 20767703041. The reversal of 20767703040 is 4030776702.

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 = 20767702986 and 20767703004.

It is not an unprimeable number, because it can be changed into a prime (20767703041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41287429 + ... + 41287931.

It is an arithmetic number, because the mean of its divisors is an integer number (190840104).

Almost surely, 2^20767703040 is an apocalyptic number.

20767703040 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 20767703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41221462464).

20767703040 is an abundant number, since it is smaller than the sum of its proper divisors (61675221888).

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

20767703040 is an frugal number, since it uses more digits than its factorization.

20767703040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The spelling of 20767703040 in words is "twenty billion, seven hundred sixty-seven million, seven hundred three thousand, forty".