75228382944 has 576 divisors, whose sum is σ = 266994524160. Its totient is φ = 19752284160.

The previous prime is 75228382937. The next prime is 75228382979. The reversal of 75228382944 is 44928382257.

75228382944 is a `hidden beast` number, since 75 + 2 + 283 + 8 + 294 + 4 = 666.

It is a super-2 number, since 2×75228382944² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99376614 + ... + 99377370.

It is an arithmetic number, because the mean of its divisors is an integer number (463532160).

Almost surely, 2^75228382944 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 75228382944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133497262080).

75228382944 is an abundant number, since it is smaller than the sum of its proper divisors (191766141216).

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

75228382944 is a wasteful number, since it uses less digits than its factorization.

75228382944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 932 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 75228382944 in words is "seventy-five billion, two hundred twenty-eight million, three hundred eighty-two thousand, nine hundred forty-four".