75760216576 has 160 divisors (see below), whose sum is σ = 175271817600. Its totient is φ = 32332185600.

The previous prime is 75760216541. The next prime is 75760216579. The reversal of 75760216576 is 67561206757.

It is a happy number.

It is a super-2 number, since 2×75760216576² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (75760216579) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 57349996 + ... + 57351316.

It is an arithmetic number, because the mean of its divisors is an integer number (1095448860).

Almost surely, 2^75760216576 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 75760216576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87635908800).

75760216576 is an abundant number, since it is smaller than the sum of its proper divisors (99511601024).

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

75760216576 is a wasteful number, since it uses less digits than its factorization.

75760216576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 52.

The spelling of 75760216576 in words is "seventy-five billion, seven hundred sixty million, two hundred sixteen thousand, five hundred seventy-six".