75496844187664 has 45 divisors (see below), whose sum is σ = 147943204721437. Its totient is φ = 37322753274752.

The previous prime is 75496844187643. The next prime is 75496844187689. The reversal of 75496844187664 is 46678144869457.

The square root of 75496844187664 is 8688892.

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., 14496995330064 + 60999848857600 = 3807492^2 + 7810240^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 3093233349 + ... + 3093257755.

Almost surely, 2^{75496844187664} is an apocalyptic number.

75496844187664 is the 8688892-nd square number.

It is an amenable number.

75496844187664 is a deficient number, since it is larger than the sum of its proper divisors (72446360533773).

75496844187664 is an frugal number, since it uses more digits than its factorization.

75496844187664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49000 (or 24498 counting only the distinct ones).

The product of its digits is 7803371520, while the sum is 79.

The spelling of 75496844187664 in words is "seventy-five trillion, four hundred ninety-six billion, eight hundred forty-four million, one hundred eighty-seven thousand, six hundred sixty-four".