75019018816 has 189 divisors, whose sum is σ = 178234828569. Its totient is φ = 31237291008.

The previous prime is 75019018801. The next prime is 75019018843. The reversal of 75019018816 is 61881091057.

The square root of 75019018816 is 273896.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 42584449600 + 32434569216 = 206360^2 + 180096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1027657756 + ... + 1027657828.

It is an arithmetic number, because the mean of its divisors is an integer number (943041421).

Almost surely, 2^75019018816 is an apocalyptic number.

75019018816 is the 273896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75019018816

75019018816 is an abundant number, since it is smaller than the sum of its proper divisors (103215809753).

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

75019018816 is an frugal number, since it uses more digits than its factorization.

75019018816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 46.

The spelling of 75019018816 in words is "seventy-five billion, nineteen million, eighteen thousand, eight hundred sixteen".