10834326720 has 560 divisors, whose sum is σ = 44410384128. Its totient is φ = 2455971840.

The previous prime is 10834326707. The next prime is 10834326733. The reversal of 10834326720 is 2762343801.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10834326707) and next prime (10834326733).

It is a tau number, because it is divible by the number of its divisors (560).

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 79 ways as a sum of consecutive naturals, for example, 38283699 + ... + 38283981.

Almost surely, 2^10834326720 is an apocalyptic number.

10834326720 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 10834326720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22205192064).

10834326720 is an abundant number, since it is smaller than the sum of its proper divisors (33576057408).

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

10834326720 is a wasteful number, since it uses less digits than its factorization.

10834326720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 10834326720 in words is "ten billion, eight hundred thirty-four million, three hundred twenty-six thousand, seven hundred twenty".