75390736426452 has 192 divisors, whose sum is σ = 207472038681600. Its totient is φ = 23592936407040.

The previous prime is 75390736426409. The next prime is 75390736426463. The reversal of 75390736426452 is 25462463709357.

75390736426452 is a `hidden beast` number, since 7 + 5 + 3 + 9 + 0 + 7 + 364 + 264 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 75390736426452.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2829863052 + ... + 2829889692.

It is an arithmetic number, because the mean of its divisors is an integer number (1080583534800).

Almost surely, 2^{75390736426452} 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 75390736426452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103736019340800).

75390736426452 is an abundant number, since it is smaller than the sum of its proper divisors (132081302255148).

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

75390736426452 is a wasteful number, since it uses less digits than its factorization.

75390736426452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30463 (or 30455 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 63.

The spelling of 75390736426452 in words is "seventy-five trillion, three hundred ninety billion, seven hundred thirty-six million, four hundred twenty-six thousand, four hundred fifty-two".