10433009664 has 288 divisors, whose sum is σ = 37572837120. Its totient is φ = 2709504000.

The previous prime is 10433009593. The next prime is 10433009677. The reversal of 10433009664 is 46690033401.

It is a tau number, because it is divible by the number of its divisors (288).

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 23 ways as a sum of consecutive naturals, for example, 1415589 + ... + 1422939.

It is an arithmetic number, because the mean of its divisors is an integer number (130461240).

Almost surely, 2^10433009664 is an apocalyptic number.

10433009664 is a gapful number since it is divisible by the number (14) 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 10433009664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18786418560).

10433009664 is an abundant number, since it is smaller than the sum of its proper divisors (27139827456).

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

10433009664 is a wasteful number, since it uses less digits than its factorization.

10433009664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7397 (or 7374 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 10433009664 in words is "ten billion, four hundred thirty-three million, nine thousand, six hundred sixty-four".