20076000768 has 320 divisors, whose sum is σ = 62224588800. Its totient is φ = 6383370240.

The previous prime is 20076000767. The next prime is 20076000773. The reversal of 20076000768 is 86700067002.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20076000767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33854680 + ... + 33855272.

It is an arithmetic number, because the mean of its divisors is an integer number (194451840).

Almost surely, 2^20076000768 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 20076000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31112294400).

20076000768 is an abundant number, since it is smaller than the sum of its proper divisors (42148588032).

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

20076000768 is an equidigital number, since it uses as much as digits as its factorization.

20076000768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 20076000768 in words is "twenty billion, seventy-six million, seven hundred sixty-eight", and thus it is an aban number.