735020664 has 128 divisors (see below), whose sum is σ = 2189721600. Its totient is φ = 201179520.

The previous prime is 735020647. The next prime is 735020677. The reversal of 735020664 is 466020537.

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 31 ways as a sum of consecutive naturals, for example, 556597 + ... + 557915.

It is an arithmetic number, because the mean of its divisors is an integer number (17107200).

Almost surely, 2^735020664 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 735020664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094860800).

735020664 is an abundant number, since it is smaller than the sum of its proper divisors (1454700936).

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

735020664 is a wasteful number, since it uses less digits than its factorization.

735020664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 735020664 is about 27111.2645223346. The cubic root of 735020664 is about 902.4708498551.

The spelling of 735020664 in words is "seven hundred thirty-five million, twenty thousand, six hundred sixty-four".