10333834680 has 256 divisors, whose sum is σ = 35054208000. Its totient is φ = 2418020352.

The previous prime is 10333834669. The next prime is 10333834699. The reversal of 10333834680 is 8643833301.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6421716 + ... + 6423324.

It is an arithmetic number, because the mean of its divisors is an integer number (136930500).

Almost surely, 2^10333834680 is an apocalyptic number.

10333834680 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 10333834680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17527104000).

10333834680 is an abundant number, since it is smaller than the sum of its proper divisors (24720373320).

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

10333834680 is a wasteful number, since it uses less digits than its factorization.

10333834680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 10333834680 in words is "ten billion, three hundred thirty-three million, eight hundred thirty-four thousand, six hundred eighty".