906559600480 has 96 divisors (see below), whose sum is σ = 2211251228928. Its totient is φ = 350860339200.

The previous prime is 906559600459. The next prime is 906559600493. The reversal of 906559600480 is 84006955609.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32627874 + ... + 32655646.

It is an arithmetic number, because the mean of its divisors is an integer number (23033866968).

Almost surely, 2^906559600480 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 906559600480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105625614464).

906559600480 is an abundant number, since it is smaller than the sum of its proper divisors (1304691628448).

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

906559600480 is a wasteful number, since it uses less digits than its factorization.

906559600480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34400 (or 34392 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 52.

The spelling of 906559600480 in words is "nine hundred six billion, five hundred fifty-nine million, six hundred thousand, four hundred eighty".