5741736100864 has 99 divisors (see below), whose sum is σ = 11606347203327. Its totient is φ = 2839084959744.

The previous prime is 5741736100861. The next prime is 5741736100879. The reversal of 5741736100864 is 4680016371475.

It is a happy number.

The square root of 5741736100864 is 2396192.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5741736100861) 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, 7897848469 + ... + 7897849195.

Almost surely, 2^{5741736100864} is an apocalyptic number.

5741736100864 is the 2396192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5741736100864

5741736100864 is an abundant number, since it is smaller than the sum of its proper divisors (5864611102463).

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

5741736100864 is an frugal number, since it uses more digits than its factorization.

5741736100864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 5741736100864 in words is "five trillion, seven hundred forty-one billion, seven hundred thirty-six million, one hundred thousand, eight hundred sixty-four".