10734414720 has 256 divisors, whose sum is σ = 36457231680. Its totient is φ = 2677145600.

The previous prime is 10734414701. The next prime is 10734414727. The reversal of 10734414720 is 2741443701.

10734414720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10734414727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5645770 + ... + 5647670.

Almost surely, 2^10734414720 is an apocalyptic number.

10734414720 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 10734414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18228615840).

10734414720 is an abundant number, since it is smaller than the sum of its proper divisors (25722816960).

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

10734414720 is a wasteful number, since it uses less digits than its factorization.

10734414720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The spelling of 10734414720 in words is "ten billion, seven hundred thirty-four million, four hundred fourteen thousand, seven hundred twenty".