364120523776 has 99 divisors (see below), whose sum is σ = 738895504431. Its totient is φ = 179347267584.

The previous prime is 364120523771. The next prime is 364120523779. The reversal of 364120523776 is 677325021463.

The square root of 364120523776 is 603424.

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 144886809600 + 219233714176 = 380640^2 + 468224^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (364120523771) 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 8 ways as a sum of consecutive naturals, for example, 2104742826 + ... + 2104742998.

Almost surely, 2^364120523776 is an apocalyptic number.

364120523776 is the 603424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364120523776

364120523776 is an abundant number, since it is smaller than the sum of its proper divisors (374774980655).

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

364120523776 is an frugal number, since it uses more digits than its factorization.

364120523776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 46.

The spelling of 364120523776 in words is "three hundred sixty-four billion, one hundred twenty million, five hundred twenty-three thousand, seven hundred seventy-six".