75664620 has 144 divisors (see below), whose sum is σ = 246879360. Its totient is φ = 18690048.

The previous prime is 75664619. The next prime is 75664663. The reversal of 75664620 is 2646657.

75664620 is a `hidden beast` number, since 7 + 5 + 6 + 646 + 2 + 0 = 666.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 241584 + ... + 241896.

It is an arithmetic number, because the mean of its divisors is an integer number (1714440).

Almost surely, 2^75664620 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 75664620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123439680).

75664620 is an abundant number, since it is smaller than the sum of its proper divisors (171214740).

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

75664620 is a wasteful number, since it uses less digits than its factorization.

75664620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 419 counting only the distinct ones).

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

The square root of 75664620 is about 8698.5412570155. The cubic root of 75664620 is about 422.9583648641.

The spelling of 75664620 in words is "seventy-five million, six hundred sixty-four thousand, six hundred twenty".