745827264 has 672 divisors, whose sum is σ = 2982260736. Its totient is φ = 179159040.

The previous prime is 745827163. The next prime is 745827283. The reversal of 745827264 is 462728547.

It is a happy number.

745827264 is a `hidden beast` number, since 7 + 4 + 582 + 7 + 2 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24058929 + ... + 24058959.

It is an arithmetic number, because the mean of its divisors is an integer number (4437888).

Almost surely, 2^745827264 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 745827264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491130368).

745827264 is an abundant number, since it is smaller than the sum of its proper divisors (2236433472).

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

745827264 is a wasteful number, since it uses less digits than its factorization.

745827264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 73 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 745827264 is about 27309.8382272763. The cubic root of 745827264 is about 906.8721919696.

The spelling of 745827264 in words is "seven hundred forty-five million, eight hundred twenty-seven thousand, two hundred sixty-four".