75385336320 has 960 divisors, whose sum is σ = 319329204480. Its totient is φ = 16052649984.

The previous prime is 75385336303. The next prime is 75385336331. The reversal of 75385336320 is 2363358357.

It is a happy number.

75385336320 is a `hidden beast` number, since 7 + 5 + 3 + 8 + 5 + 3 + 3 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×75385336320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 223695192 + ... + 223695528.

It is an arithmetic number, because the mean of its divisors is an integer number (332634588).

Almost surely, 2^75385336320 is an apocalyptic number.

75385336320 is a gapful number since it is divisible by the number (70) 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 75385336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159664602240).

75385336320 is an abundant number, since it is smaller than the sum of its proper divisors (243943868160).

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

75385336320 is a wasteful number, since it uses less digits than its factorization.

75385336320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 75385336320 in words is "seventy-five billion, three hundred eighty-five million, three hundred thirty-six thousand, three hundred twenty".