906701106800 has 240 divisors, whose sum is σ = 2297513902080. Its totient is φ = 343429632000.

The previous prime is 906701106799. The next prime is 906701106833. The reversal of 906701106800 is 8601107609.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110690705 + ... + 110698895.

It is an arithmetic number, because the mean of its divisors is an integer number (9572974592).

Almost surely, 2^906701106800 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 906701106800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148756951040).

906701106800 is an abundant number, since it is smaller than the sum of its proper divisors (1390812795280).

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

906701106800 is a wasteful number, since it uses less digits than its factorization.

906701106800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8432 (or 8421 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The spelling of 906701106800 in words is "nine hundred six billion, seven hundred one million, one hundred six thousand, eight hundred".