75264126912 has 560 divisors, whose sum is σ = 255274145280. Its totient is φ = 21749409792.

The previous prime is 75264126887. The next prime is 75264126983. The reversal of 75264126912 is 21962146257.

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 79 ways as a sum of consecutive naturals, for example, 91450533 + ... + 91451355.

It is an arithmetic number, because the mean of its divisors is an integer number (455846688).

Almost surely, 2^75264126912 is an apocalyptic number.

75264126912 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 75264126912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127637072640).

75264126912 is an abundant number, since it is smaller than the sum of its proper divisors (180010018368).

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

75264126912 is a wasteful number, since it uses less digits than its factorization.

75264126912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 923 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 75264126912 in words is "seventy-five billion, two hundred sixty-four million, one hundred twenty-six thousand, nine hundred twelve".