740006777344 has 80 divisors (see below), whose sum is σ = 1566101934936. Its totient is φ = 348114124800.

The previous prime is 740006777339. The next prime is 740006777347. The reversal of 740006777344 is 443777600047.

It can be written as a sum of positive squares in 4 ways, for example, as 692357126400 + 47649650944 = 832080^2 + 218288^2 .

It is a super-2 number, since 2×740006777344² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (740006777347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27151564 + ... + 27178804.

Almost surely, 2^740006777344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 740006777344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783050967468).

740006777344 is an abundant number, since it is smaller than the sum of its proper divisors (826095157592).

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

740006777344 is a wasteful number, since it uses less digits than its factorization.

740006777344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30397 (or 30381 counting only the distinct ones).

The product of its (nonzero) digits is 2765952, while the sum is 49.

The spelling of 740006777344 in words is "seven hundred forty billion, six million, seven hundred seventy-seven thousand, three hundred forty-four".