75052448640 has 640 divisors, whose sum is σ = 305668883520. Its totient is φ = 17385062400.

The previous prime is 75052448573. The next prime is 75052448743. The reversal of 75052448640 is 4684425057.

75052448640 is a `hidden beast` number, since 7 + 5 + 0 + 524 + 4 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11453365 + ... + 11459915.

Almost surely, 2^75052448640 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 75052448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152834441760).

75052448640 is an abundant number, since it is smaller than the sum of its proper divisors (230616434880).

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

75052448640 is a wasteful number, since it uses less digits than its factorization.

75052448640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6612 (or 6591 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 75052448640 in words is "seventy-five billion, fifty-two million, four hundred forty-eight thousand, six hundred forty".