10233702720 has 336 divisors, whose sum is σ = 36466838928. Its totient is φ = 2632089600.

The previous prime is 10233702649. The next prime is 10233702749. The reversal of 10233702720 is 2720733201.

It is a happy number.

10233702720 is a `hidden beast` number, since 1 + 0 + 23 + 370 + 272 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1575772416 + 8657930304 = 39696^2 + 93048^2 .

It is a super-2 number, since 2×10233702720² (a number of 21 digits) contains 22 as substring.

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, 14598370 + ... + 14599070.

Almost surely, 2^10233702720 is an apocalyptic number.

10233702720 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 10233702720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18233419464).

10233702720 is an abundant number, since it is smaller than the sum of its proper divisors (26233136208).

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

10233702720 is a wasteful number, since it uses less digits than its factorization.

10233702720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The spelling of 10233702720 in words is "ten billion, two hundred thirty-three million, seven hundred two thousand, seven hundred twenty".