75475664 has 40 divisors (see below), whose sum is σ = 163254432. Its totient is φ = 33505920.

The previous prime is 75475663. The next prime is 75475667. The reversal of 75475664 is 46657457.

75475664 = 700² + 701² + ... + 828².

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75475663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2582 + ... + 12554.

Almost surely, 2^75475664 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 75475664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81627216).

75475664 is an abundant number, since it is smaller than the sum of its proper divisors (87778768).

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

75475664 is a wasteful number, since it uses less digits than its factorization.

75475664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10035 (or 10029 counting only the distinct ones).

The product of its digits is 705600, while the sum is 44.

The square root of 75475664 is about 8687.6731061890. The cubic root of 75475664 is about 422.6059890716.

The spelling of 75475664 in words is "seventy-five million, four hundred seventy-five thousand, six hundred sixty-four".