75334370112 has 392 divisors, whose sum is σ = 249859800000. Its totient is φ = 22385922048.

The previous prime is 75334370087. The next prime is 75334370113. The reversal of 75334370112 is 21107343357.

75334370112 is a `hidden beast` number, since 7 + 533 + 4 + 3 + 7 + 0 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75334370113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15067389 + ... + 15072387.

Almost surely, 2^75334370112 is an apocalyptic number.

75334370112 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 75334370112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124929900000).

75334370112 is an abundant number, since it is smaller than the sum of its proper divisors (174525429888).

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

75334370112 is a wasteful number, since it uses less digits than its factorization.

75334370112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5065 (or 5040 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 75334370112 in words is "seventy-five billion, three hundred thirty-four million, three hundred seventy thousand, one hundred twelve".