75641364 has 120 divisors (see below), whose sum is σ = 216615168. Its totient is φ = 22913280.

The previous prime is 75641329. The next prime is 75641369. The reversal of 75641364 is 46314657.

It is a happy number.

75641364 is a `hidden beast` number, since 7 + 5 + 641 + 3 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75641369) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 170527 + ... + 170969.

Almost surely, 2^75641364 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 75641364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108307584).

75641364 is an abundant number, since it is smaller than the sum of its proper divisors (140973804).

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

75641364 is a wasteful number, since it uses less digits than its factorization.

75641364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 496 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 75641364 is about 8697.2043784195. The cubic root of 75641364 is about 422.9150274467.

The spelling of 75641364 in words is "seventy-five million, six hundred forty-one thousand, three hundred sixty-four".