733936896 has 432 divisors, whose sum is σ = 2768230080. Its totient is φ = 189665280.

The previous prime is 733936891. The next prime is 733936919. The reversal of 733936896 is 698639337.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×733936896² = 1077326734620229632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (733936891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3725470 + ... + 3725666.

It is an arithmetic number, because the mean of its divisors is an integer number (6407940).

Almost surely, 2^733936896 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 733936896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384115040).

733936896 is an abundant number, since it is smaller than the sum of its proper divisors (2034293184).

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

733936896 is a wasteful number, since it uses less digits than its factorization.

733936896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 220 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 54.

The square root of 733936896 is about 27091.2697376849. The cubic root of 733936896 is about 902.0270754226.

The spelling of 733936896 in words is "seven hundred thirty-three million, nine hundred thirty-six thousand, eight hundred ninety-six".