906943138920 has 384 divisors, whose sum is σ = 3681927325440. Its totient is φ = 188498534400.

The previous prime is 906943138891. The next prime is 906943139009. The reversal of 906943138920 is 29831349609.

906943138920 is a `hidden beast` number, since 90 + 6 + 9 + 431 + 38 + 92 + 0 = 666.

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, 1988320 + ... + 2401520.

It is an arithmetic number, because the mean of its divisors is an integer number (9588352410).

Almost surely, 2^906943138920 is an apocalyptic number.

906943138920 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 906943138920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840963662720).

906943138920 is an abundant number, since it is smaller than the sum of its proper divisors (2774984186520).

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

906943138920 is a wasteful number, since it uses less digits than its factorization.

906943138920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413305 (or 413298 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 906943138920 in words is "nine hundred six billion, nine hundred forty-three million, one hundred thirty-eight thousand, nine hundred twenty".