75642024657 has 12 divisors (see below), whose sum is σ = 102148877040. Its totient is φ = 49789674792.

The previous prime is 75642024631. The next prime is 75642024721.

75642024657 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 75642024657 - 2¹² = 75642020561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (75642024607) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2001307 + ... + 2038752.

It is an arithmetic number, because the mean of its divisors is an integer number (8512406420).

Almost surely, 2^75642024657 is an apocalyptic number.

It is an amenable number.

75642024657 is a deficient number, since it is larger than the sum of its proper divisors (26506852383).

75642024657 is an equidigital number, since it uses as much as digits as its factorization.

75642024657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4040220 (or 4040141 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 48.

The spelling of 75642024657 in words is "seventy-five billion, six hundred forty-two million, twenty-four thousand, six hundred fifty-seven".