10334736832 has 224 divisors, whose sum is σ = 26545397760. Its totient is φ = 3887431680.

The previous prime is 10334736779. The next prime is 10334736833. The reversal of 10334736832 is 23863743301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10334736833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7181169 + ... + 7182607.

It is an arithmetic number, because the mean of its divisors is an integer number (118506240).

Almost surely, 2^10334736832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10334736832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13272698880).

10334736832 is an abundant number, since it is smaller than the sum of its proper divisors (16210660928).

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

10334736832 is a wasteful number, since it uses less digits than its factorization.

10334736832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The spelling of 10334736832 in words is "ten billion, three hundred thirty-four million, seven hundred thirty-six thousand, eight hundred thirty-two".