732768960 has 448 divisors, whose sum is σ = 3033759744. Its totient is φ = 145305600.

The previous prime is 732768947. The next prime is 732768961. The reversal of 732768960 is 69867237.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (732768961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1699945 + ... + 1700375.

Almost surely, 2^732768960 is an apocalyptic number.

732768960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 732768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516879872).

732768960 is an abundant number, since it is smaller than the sum of its proper divisors (2300990784).

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

732768960 is a wasteful number, since it uses less digits than its factorization.

732768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 732768960 is about 27069.7055765296. The cubic root of 732768960 is about 901.5483470641.

The spelling of 732768960 in words is "seven hundred thirty-two million, seven hundred sixty-eight thousand, nine hundred sixty".