75131836416 has 1008 divisors, whose sum is σ = 285737306400. Its totient is φ = 19564167168.

The previous prime is 75131836411. The next prime is 75131836421. The reversal of 75131836416 is 61463813157.

75131836416 is a `hidden beast` number, since 7 + 51 + 3 + 183 + 6 + 416 = 666.

It is an interprime number because it is at equal distance from previous prime (75131836411) and next prime (75131836421).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75131836411) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 951035865 + ... + 951035943.

It is an arithmetic number, because the mean of its divisors is an integer number (283469550).

Almost surely, 2^75131836416 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 75131836416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142868653200).

75131836416 is an abundant number, since it is smaller than the sum of its proper divisors (210605469984).

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

75131836416 is an equidigital number, since it uses as much as digits as its factorization.

75131836416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 104 counting only the distinct ones).

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

The spelling of 75131836416 in words is "seventy-five billion, one hundred thirty-one million, eight hundred thirty-six thousand, four hundred sixteen".