754842564 has 144 divisors (see below), whose sum is σ = 2380851200. Its totient is φ = 204283296.

The previous prime is 754842563. The next prime is 754842577. The reversal of 754842564 is 465248457.

754842564 is a `hidden beast` number, since 7 + 5 + 4 + 84 + 2 + 564 = 666.

It is not an unprimeable number, because it can be changed into a prime (754842563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126357 + ... + 132195.

Almost surely, 2^754842564 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 754842564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190425600).

754842564 is an abundant number, since it is smaller than the sum of its proper divisors (1626008636).

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

754842564 is a wasteful number, since it uses less digits than its factorization.

754842564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5884 (or 5870 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The square root of 754842564 is about 27474.3983373613. The cubic root of 754842564 is about 910.5115523342.

The spelling of 754842564 in words is "seven hundred fifty-four million, eight hundred forty-two thousand, five hundred sixty-four".