735432768 has 252 divisors, whose sum is σ = 2493459072. Its totient is φ = 206599680.

The previous prime is 735432749. The next prime is 735432769. The reversal of 735432768 is 867234537.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×735432768² = 1081722712496283648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (735432769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2003721 + ... + 2004087.

Almost surely, 2^735432768 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 735432768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246729536).

735432768 is an abundant number, since it is smaller than the sum of its proper divisors (1758026304).

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

735432768 is a wasteful number, since it uses less digits than its factorization.

735432768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 450 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 735432768 is about 27118.8636930090. The cubic root of 735432768 is about 902.6394811061.

The spelling of 735432768 in words is "seven hundred thirty-five million, four hundred thirty-two thousand, seven hundred sixty-eight".