675745664 has 64 divisors (see below), whose sum is σ = 1480550400. Its totient is φ = 304657920.

The previous prime is 675745643. The next prime is 675745669. The reversal of 675745664 is 466547576.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675745669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176927 + ... + 180705.

It is an arithmetic number, because the mean of its divisors is an integer number (23133600).

Almost surely, 2^675745664 is an apocalyptic number.

675745664 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 675745664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740275200).

675745664 is an abundant number, since it is smaller than the sum of its proper divisors (804804736).

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

675745664 is a wasteful number, since it uses less digits than its factorization.

675745664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3931 (or 3919 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 50.

The square root of 675745664 is about 25995.1084629397. The cubic root of 675745664 is about 877.5282151516.

The spelling of 675745664 in words is "six hundred seventy-five million, seven hundred forty-five thousand, six hundred sixty-four".