933216768 has 480 divisors, whose sum is σ = 3367552320. Its totient is φ = 252149760.

The previous prime is 933216761. The next prime is 933216769. The reversal of 933216768 is 867612339.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (933216761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49116663 + ... + 49116681.

It is an arithmetic number, because the mean of its divisors is an integer number (7015734).

Almost surely, 2^933216768 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 933216768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683776160).

933216768 is an abundant number, since it is smaller than the sum of its proper divisors (2434335552).

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

933216768 is a wasteful number, since it uses less digits than its factorization.

933216768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 52 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 933216768 is about 30548.5968253863. The cubic root of 933216768 is about 977.2241202258.

The spelling of 933216768 in words is "nine hundred thirty-three million, two hundred sixteen thousand, seven hundred sixty-eight".