75635664 has 80 divisors (see below), whose sum is σ = 214486272. Its totient is φ = 22823424.

The previous prime is 75635657. The next prime is 75635687. The reversal of 75635664 is 46653657.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31929 + ... + 34215.

Almost surely, 2^75635664 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 75635664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107243136).

75635664 is an abundant number, since it is smaller than the sum of its proper divisors (138850608).

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

75635664 is a wasteful number, since it uses less digits than its factorization.

75635664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2358 counting only the distinct ones).

The product of its digits is 453600, while the sum is 42.

The square root of 75635664 is about 8696.8766807400. The cubic root of 75635664 is about 422.9044041753.

The spelling of 75635664 in words is "seventy-five million, six hundred thirty-five thousand, six hundred sixty-four".