10009234368 has 224 divisors, whose sum is σ = 34715013120. Its totient is φ = 2767426560.

The previous prime is 10009234343. The next prime is 10009234421. The reversal of 10009234368 is 86343290001.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 361630 + ... + 388322.

Almost surely, 2^10009234368 is an apocalyptic number.

10009234368 is a gapful number since it is divisible by the number (18) 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 10009234368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17357506560).

10009234368 is an abundant number, since it is smaller than the sum of its proper divisors (24705778752).

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

10009234368 is a wasteful number, since it uses less digits than its factorization.

10009234368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26752 (or 26736 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10009234368 in words is "ten billion, nine million, two hundred thirty-four thousand, three hundred sixty-eight".