675267264 has 168 divisors, whose sum is σ = 2222906400. Its totient is φ = 191987712.

The previous prime is 675267247. The next prime is 675267269. The reversal of 675267264 is 462762576.

675267264 is a `hidden beast` number, since 67 + 526 + 7 + 2 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (675267269) 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 23 ways as a sum of consecutive naturals, for example, 1503712 + ... + 1504160.

Almost surely, 2^675267264 is an apocalyptic number.

675267264 is a gapful number since it is divisible by the number (64) 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 675267264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111453200).

675267264 is an abundant number, since it is smaller than the sum of its proper divisors (1547639136).

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

675267264 is a wasteful number, since it uses less digits than its factorization.

675267264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 834 counting only the distinct ones).

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

The square root of 675267264 is about 25985.9051025744. The cubic root of 675267264 is about 877.3210816946.

The spelling of 675267264 in words is "six hundred seventy-five million, two hundred sixty-seven thousand, two hundred sixty-four".