75727444480 has 80 divisors (see below), whose sum is σ = 185791171104. Its totient is φ = 29586493440.

The previous prime is 75727444477. The next prime is 75727444483. The reversal of 75727444480 is 8444472757.

It is an interprime number because it is at equal distance from previous prime (75727444477) and next prime (75727444483).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (75727444483) 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 7 ways as a sum of consecutive naturals, for example, 233886 + ... + 454045.

Almost surely, 2^75727444480 is an apocalyptic number.

It is an amenable number.

75727444480 is an abundant number, since it is smaller than the sum of its proper divisors (110063726624).

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

75727444480 is an equidigital number, since it uses as much as digits as its factorization.

75727444480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687997 (or 687981 counting only the distinct ones).

The product of its (nonzero) digits is 7024640, while the sum is 52.

The spelling of 75727444480 in words is "seventy-five billion, seven hundred twenty-seven million, four hundred forty-four thousand, four hundred eighty".