75218825664 has 224 divisors, whose sum is σ = 227737903680. Its totient is φ = 24330240000.

The previous prime is 75218825657. The next prime is 75218825699. The reversal of 75218825664 is 46652881257.

75218825664 is a `hidden beast` number, since 7 + 521 + 8 + 8 + 2 + 56 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 75218825664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13670914 + ... + 13676414.

It is an arithmetic number, because the mean of its divisors is an integer number (1016687070).

Almost surely, 2^75218825664 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 75218825664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113868951840).

75218825664 is an abundant number, since it is smaller than the sum of its proper divisors (152519078016).

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

75218825664 is a wasteful number, since it uses less digits than its factorization.

75218825664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5756 (or 5740 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 75218825664 in words is "seventy-five billion, two hundred eighteen million, eight hundred twenty-five thousand, six hundred sixty-four".