675188864 has 128 divisors (see below), whose sum is σ = 1714089600. Its totient is φ = 257900544.

The previous prime is 675188863. The next prime is 675188893. The reversal of 675188864 is 468881576.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×675188864² = 911760004139220992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (675188863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288242 + ... + 290574.

It is an arithmetic number, because the mean of its divisors is an integer number (13391325).

Almost surely, 2^675188864 is an apocalyptic number.

675188864 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 675188864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857044800).

675188864 is an abundant number, since it is smaller than the sum of its proper divisors (1038900736).

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

675188864 is a wasteful number, since it uses less digits than its factorization.

675188864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390 (or 2378 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 53.

The square root of 675188864 is about 25984.3965486982. The cubic root of 675188864 is about 877.2871274177.

The spelling of 675188864 in words is "six hundred seventy-five million, one hundred eighty-eight thousand, eight hundred sixty-four".