75442426368 has 320 divisors, whose sum is σ = 210980246400. Its totient is φ = 23940956160.

The previous prime is 75442426357. The next prime is 75442426369. The reversal of 75442426368 is 86362424457.

It is a super-2 number, since 2×75442426368² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 75442426368.

It is not an unprimeable number, because it can be changed into a prime (75442426369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 692132298 + ... + 692132406.

It is an arithmetic number, because the mean of its divisors is an integer number (659313270).

Almost surely, 2^75442426368 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 75442426368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105490123200).

75442426368 is an abundant number, since it is smaller than the sum of its proper divisors (135537820032).

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

75442426368 is a wasteful number, since it uses less digits than its factorization.

75442426368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 347 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 51.

The spelling of 75442426368 in words is "seventy-five billion, four hundred forty-two million, four hundred twenty-six thousand, three hundred sixty-eight".