740816257843600 has 135 divisors (see below), whose sum is σ = 1829263876136361. Its totient is φ = 288309839961600.

The previous prime is 740816257843583. The next prime is 740816257843601. The reversal of 740816257843600 is 6348752618047.

The square root of 740816257843600 is 27217940.

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

It can be written as a sum of positive squares in 13 ways, for example, as 631465233776784 + 109351024066816 = 25128972^2 + 10457104^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (740816257843601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20141257210 + ... + 20141293990.

Almost surely, 2^{740816257843600} is an apocalyptic number.

740816257843600 is the 27217940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 740816257843600

740816257843600 is an abundant number, since it is smaller than the sum of its proper divisors (1088447618292761).

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

740816257843600 is an frugal number, since it uses more digits than its factorization.

740816257843600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73654 (or 36825 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 61.

The spelling of 740816257843600 in words is "seven hundred forty trillion, eight hundred sixteen billion, two hundred fifty-seven million, eight hundred forty-three thousand, six hundred".