75673664 has 56 divisors (see below), whose sum is σ = 173479968. Its totient is φ = 32368640.

The previous prime is 75673649. The next prime is 75673711. The reversal of 75673664 is 46637657.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8807 + ... + 15129.

Almost surely, 2^75673664 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 75673664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86739984).

75673664 is an abundant number, since it is smaller than the sum of its proper divisors (97806304).

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

75673664 is a wasteful number, since it uses less digits than its factorization.

75673664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6363 (or 6353 counting only the distinct ones).

The product of its digits is 635040, while the sum is 44.

The square root of 75673664 is about 8699.0610987623. The cubic root of 75673664 is about 422.9752159060.

The spelling of 75673664 in words is "seventy-five million, six hundred seventy-three thousand, six hundred sixty-four".