736833664 has 64 divisors (see below), whose sum is σ = 1713404160. Its totient is φ = 309049344.

The previous prime is 736833659. The next prime is 736833667. The reversal of 736833664 is 466338637.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (736833667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33364 + ... + 50860.

It is an arithmetic number, because the mean of its divisors is an integer number (26771940).

Almost surely, 2^736833664 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 736833664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856702080).

736833664 is an abundant number, since it is smaller than the sum of its proper divisors (976570496).

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

736833664 is a wasteful number, since it uses less digits than its factorization.

736833664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17565 (or 17553 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 46.

The square root of 736833664 is about 27144.6802154676. The cubic root of 736833664 is about 903.2122513357.

The spelling of 736833664 in words is "seven hundred thirty-six million, eight hundred thirty-three thousand, six hundred sixty-four".