75468994921320 has 1024 divisors, whose sum is σ = 321316402176000. Its totient is φ = 13656696422400.

The previous prime is 75468994921279. The next prime is 75468994921349. The reversal of 75468994921320 is 2312949986457.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 549960876 + ... + 550098084.

It is an arithmetic number, because the mean of its divisors is an integer number (313785549000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅75468994921320 = 150937989842640, but 3⋅75468994921320 = 226406984763960 is not.

Almost surely, 2^{75468994921320} is an apocalyptic number.

75468994921320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75468994921320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160658201088000).

75468994921320 is an abundant number, since it is smaller than the sum of its proper divisors (245847407254680).

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

75468994921320 is a wasteful number, since it uses less digits than its factorization.

75468994921320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137514 (or 137510 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 69.

The spelling of 75468994921320 in words is "seventy-five trillion, four hundred sixty-eight billion, nine hundred ninety-four million, nine hundred twenty-one thousand, three hundred twenty".