10745226720 has 336 divisors, whose sum is σ = 40307304240. Its totient is φ = 2696343552.

The previous prime is 10745226719. The next prime is 10745226743. The reversal of 10745226720 is 2762254701.

It is a happy number.

10745226720 is a `hidden beast` number, since 1 + 0 + 74 + 522 + 67 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1980171 + ... + 1985589.

It is an arithmetic number, because the mean of its divisors is an integer number (119962215).

Almost surely, 2^10745226720 is an apocalyptic number.

10745226720 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 10745226720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20153652120).

10745226720 is an abundant number, since it is smaller than the sum of its proper divisors (29562077520).

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

10745226720 is an equidigital number, since it uses as much as digits as its factorization.

10745226720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5469 (or 5446 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 10745226720 in words is "ten billion, seven hundred forty-five million, two hundred twenty-six thousand, seven hundred twenty".