10846422720 has 672 divisors, whose sum is σ = 45286940160. Its totient is φ = 2393763840.

The previous prime is 10846422703. The next prime is 10846422751. The reversal of 10846422720 is 2722464801.

10846422720 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 642 + 2 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 82797055 + ... + 82797185.

It is an arithmetic number, because the mean of its divisors is an integer number (67391280).

Almost surely, 2^10846422720 is an apocalyptic number.

10846422720 is a gapful number since it is divisible by the number (10) 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 10846422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22643470080).

10846422720 is an abundant number, since it is smaller than the sum of its proper divisors (34440517440).

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

10846422720 is a wasteful number, since it uses less digits than its factorization.

10846422720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 10846422720 in words is "ten billion, eight hundred forty-six million, four hundred twenty-two thousand, seven hundred twenty".