75493057600 has 63 divisors (see below), whose sum is σ = 185787152047. Its totient is φ = 30192826880.

The previous prime is 75493057511. The next prime is 75493057669. The reversal of 75493057600 is 675039457.

The square root of 75493057600 is 274760.

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

It can be written as a sum of positive squares in 4 ways, for example, as 39435605056 + 36057452544 = 198584^2 + 189888^2 .

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, 10986966 + ... + 10993834.

Almost surely, 2^75493057600 is an apocalyptic number.

75493057600 is the 274760-th square number.

It is an amenable number.

75493057600 is an abundant number, since it is smaller than the sum of its proper divisors (110294094447).

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

75493057600 is an frugal number, since it uses more digits than its factorization.

75493057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13760 (or 6876 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 46.

The spelling of 75493057600 in words is "seventy-five billion, four hundred ninety-three million, fifty-seven thousand, six hundred".