733416768 has 168 divisors, whose sum is σ = 2491874112. Its totient is φ = 209516544.

The previous prime is 733416767. The next prime is 733416781. The reversal of 733416768 is 867614337.

It is a tau number, because it is divible by the number of its divisors (168).

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 (733416763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105496 + ... + 112232.

It is an arithmetic number, because the mean of its divisors is an integer number (14832584).

Almost surely, 2^733416768 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 733416768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245937056).

733416768 is an abundant number, since it is smaller than the sum of its proper divisors (1758457344).

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

733416768 is an equidigital number, since it uses as much as digits as its factorization.

733416768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6771 (or 6749 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 733416768 is about 27081.6684862658. The cubic root of 733416768 is about 901.8139415616.

The spelling of 733416768 in words is "seven hundred thirty-three million, four hundred sixteen thousand, seven hundred sixty-eight".