746133264 has 90 divisors (see below), whose sum is σ = 2218317530. Its totient is φ = 234067968.

The previous prime is 746133263. The next prime is 746133299. The reversal of 746133264 is 462331647.

It is a happy number.

746133264 is a `hidden beast` number, since 7 + 4 + 613 + 32 + 6 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 320123664 + 426009600 = 17892^2 + 20640^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (746133263) 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 17 ways as a sum of consecutive naturals, for example, 32652 + ... + 50580.

Almost surely, 2^746133264 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 746133264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109158765).

746133264 is an abundant number, since it is smaller than the sum of its proper divisors (1472184266).

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

746133264 is a wasteful number, since it uses less digits than its factorization.

746133264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17977 (or 17951 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 746133264 is about 27315.4400294046. The cubic root of 746133264 is about 906.9961996594.

It can be divided in two parts, 74613 and 3264, that added together give a palindrome (77877).

The spelling of 746133264 in words is "seven hundred forty-six million, one hundred thirty-three thousand, two hundred sixty-four".