75769852249744 has 45 divisors (see below), whose sum is σ = 149997276856201. Its totient is φ = 37078063044800.

The previous prime is 75769852249723. The next prime is 75769852249759. The reversal of 75769852249744 is 44794225896757.

The square root of 75769852249744 is 8704588.

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

75769852249744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 23707277856144 + 52062574393600 = 4869012^2 + 7215440^2 .

It is a super-3 number, since 3×75769852249744³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1636439394 + ... + 1636485694.

Almost surely, 2^{75769852249744} is an apocalyptic number.

75769852249744 is the 8704588-th square number.

It is an amenable number.

75769852249744 is a deficient number, since it is larger than the sum of its proper divisors (74227424606457).

75769852249744 is an frugal number, since it uses more digits than its factorization.

75769852249744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92704 (or 46350 counting only the distinct ones).

The product of its digits is 8534937600, while the sum is 79.

The spelling of 75769852249744 in words is "seventy-five trillion, seven hundred sixty-nine billion, eight hundred fifty-two million, two hundred forty-nine thousand, seven hundred forty-four".