10333422720 has 320 divisors, whose sum is σ = 37608789240. Its totient is φ = 2702868480.

The previous prime is 10333422719. The next prime is 10333422733. The reversal of 10333422720 is 2722433301.

10333422720 is a `hidden beast` number, since 103 + 334 + 227 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8937055296 + 1396367424 = 94536^2 + 37368^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×10333422720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2745640 + ... + 2749400.

Almost surely, 2^10333422720 is an apocalyptic number.

10333422720 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 10333422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18804394620).

10333422720 is an abundant number, since it is smaller than the sum of its proper divisors (27275366520).

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

10333422720 is an equidigital number, since it uses as much as digits as its factorization.

10333422720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3845 (or 3824 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The spelling of 10333422720 in words is "ten billion, three hundred thirty-three million, four hundred twenty-two thousand, seven hundred twenty".