735696216 has 256 divisors, whose sum is σ = 2339020800. Its totient is φ = 212889600.

The previous prime is 735696179. The next prime is 735696277. The reversal of 735696216 is 612696537.

735696216 is a `hidden beast` number, since 73 + 569 + 6 + 2 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2617996 + ... + 2618276.

It is an arithmetic number, because the mean of its divisors is an integer number (9136800).

Almost surely, 2^735696216 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 735696216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169510400).

735696216 is an abundant number, since it is smaller than the sum of its proper divisors (1603324584).

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

735696216 is a wasteful number, since it uses less digits than its factorization.

735696216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 357 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 735696216 is about 27123.7205412532. The cubic root of 735696216 is about 902.7472499315.

The spelling of 735696216 in words is "seven hundred thirty-five million, six hundred ninety-six thousand, two hundred sixteen".