75347306496 has 288 divisors, whose sum is σ = 271319630400. Its totient is φ = 19570360320.

The previous prime is 75347306479. The next prime is 75347306513. The reversal of 75347306496 is 69460374357.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (75347306479) and next prime (75347306513).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1392720 + ... + 1445808.

It is an arithmetic number, because the mean of its divisors is an integer number (942082050).

Almost surely, 2^75347306496 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 75347306496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135659815200).

75347306496 is an abundant number, since it is smaller than the sum of its proper divisors (195972323904).

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

75347306496 is a wasteful number, since it uses less digits than its factorization.

75347306496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53135 (or 53112 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 75347306496 in words is "seventy-five billion, three hundred forty-seven million, three hundred six thousand, four hundred ninety-six".