906605568000 has 1344 divisors, whose sum is σ = 3698269585920. Its totient is φ = 218972160000.

The previous prime is 906605567969. The next prime is 906605568041. The reversal of 906605568000 is 865506609.

906605568000 is a `hidden beast` number, since 90 + 6 + 6 + 0 + 556 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3345407865 + ... + 3345408135.

It is an arithmetic number, because the mean of its divisors is an integer number (2751688680).

Almost surely, 2^906605568000 is an apocalyptic number.

906605568000 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 906605568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849134792960).

906605568000 is an abundant number, since it is smaller than the sum of its proper divisors (2791664017920).

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

906605568000 is a wasteful number, since it uses less digits than its factorization.

906605568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 906605568000 in words is "nine hundred six billion, six hundred five million, five hundred sixty-eight thousand".