906055279360 has 216 divisors, whose sum is σ = 2726312365728. Its totient is φ = 282406502400.

The previous prime is 906055279357. The next prime is 906055279391. The reversal of 906055279360 is 63972550609.

It is a super-2 number, since 2×906055279360² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 906055279298 and 906055279307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 666300 + ... + 1502020.

It is an arithmetic number, because the mean of its divisors is an integer number (12621816508).

Almost surely, 2^906055279360 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 906055279360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363156182864).

906055279360 is an abundant number, since it is smaller than the sum of its proper divisors (1820257086368).

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

906055279360 is a wasteful number, since it uses less digits than its factorization.

906055279360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835771 (or 835746 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 52.

The spelling of 906055279360 in words is "nine hundred six billion, fifty-five million, two hundred seventy-nine thousand, three hundred sixty".