906803707680 has 576 divisors, whose sum is σ = 3487197692160. Its totient is φ = 212906631168.

The previous prime is 906803707661. The next prime is 906803707793. The reversal of 906803707680 is 86707308609.

906803707680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 163179462 + ... + 163185018.

It is an arithmetic number, because the mean of its divisors is an integer number (6054162660).

Almost surely, 2^906803707680 is an apocalyptic number.

906803707680 is a gapful number since it is divisible by the number (90) 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 906803707680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743598846080).

906803707680 is an abundant number, since it is smaller than the sum of its proper divisors (2580393984480).

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

906803707680 is a wasteful number, since it uses less digits than its factorization.

906803707680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5993 (or 5982 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 906803707680 in words is "nine hundred six billion, eight hundred three million, seven hundred seven thousand, six hundred eighty".