75890621207232 has 2240 divisors, whose sum is σ = 265747820405760. Its totient is φ = 21241095782400.

The previous prime is 75890621207221. The next prime is 75890621207239. The reversal of 75890621207232 is 23270212609857.

75890621207232 is a `hidden beast` number, since 7 + 5 + 8 + 9 + 0 + 621 + 2 + 0 + 7 + 2 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (75890621207239) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 331400092494 + ... + 331400092722.

It is an arithmetic number, because the mean of its divisors is an integer number (118637419824).

Almost surely, 2^{75890621207232} is an apocalyptic number.

75890621207232 is a gapful number since it is divisible by the number (72) 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 75890621207232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132873910202880).

75890621207232 is an abundant number, since it is smaller than the sum of its proper divisors (189857199198528).

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

75890621207232 is a wasteful number, since it uses less digits than its factorization.

75890621207232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 75890621207232 in words is "seventy-five trillion, eight hundred ninety billion, six hundred twenty-one million, two hundred seven thousand, two hundred thirty-two".