75138328320 has 864 divisors, whose sum is σ = 281856153600. Its totient is φ = 17009541120.

The previous prime is 75138328319. The next prime is 75138328357. The reversal of 75138328320 is 2382383157.

It is a super-2 number, since 2×75138328320² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 844250836 + ... + 844250924.

It is an arithmetic number, because the mean of its divisors is an integer number (326222400).

Almost surely, 2^75138328320 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 75138328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140928076800).

75138328320 is an abundant number, since it is smaller than the sum of its proper divisors (206717825280).

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

75138328320 is a wasteful number, since it uses less digits than its factorization.

75138328320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 75138328320 in words is "seventy-five billion, one hundred thirty-eight million, three hundred twenty-eight thousand, three hundred twenty".