741667162671760 has 240 divisors, whose sum is σ = 1931735363367600. Its totient is φ = 263233923379200.

The previous prime is 741667162671731. The next prime is 741667162671811. The reversal of 741667162671760 is 67176261766147.

It can be written as a sum of positive squares in 8 ways, for example, as 396647533984144 + 345019628687616 = 19916012^2 + 18574704^2 .

It is a Smith number, since the sum of its digits (67) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146426350 + ... + 151406770.

It is an arithmetic number, because the mean of its divisors is an integer number (8048897347365).

Almost surely, 2^{741667162671760} 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 741667162671760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965867681683800).

741667162671760 is an abundant number, since it is smaller than the sum of its proper divisors (1190068200695840).

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

741667162671760 is a wasteful number, since it uses less digits than its factorization.

741667162671760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4980658 (or 4980621 counting only the distinct ones).

The product of its (nonzero) digits is 149361408, while the sum is 67.

The spelling of 741667162671760 in words is "seven hundred forty-one trillion, six hundred sixty-seven billion, one hundred sixty-two million, six hundred seventy-one thousand, seven hundred sixty".