740826000000 has 1120 divisors, whose sum is σ = 2928776964300. Its totient is φ = 185241600000.

The previous prime is 740825999999. The next prime is 740826000023. The reversal of 740826000000 is 628047.

It can be written as a sum of positive squares in 14 ways, for example, as 697438776384 + 43387223616 = 835128^2 + 208296^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 2753999866 + ... + 2754000134.

Almost surely, 2^740826000000 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 740826000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464388482150).

740826000000 is an abundant number, since it is smaller than the sum of its proper divisors (2187950964300).

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

740826000000 is an frugal number, since it uses more digits than its factorization.

740826000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 740826000000 its reverse (628047), we get a palindrome (740826628047).

The spelling of 740826000000 in words is "seven hundred forty billion, eight hundred twenty-six million", and thus it is an aban number.