736665667740000 has 960 divisors, whose sum is σ = 2720332834591680. Its totient is φ = 193863352320000.

The previous prime is 736665667739933. The next prime is 736665667740001. The reversal of 736665667740000 is 47766566637.

It is a self number, because there is not a number n which added to its sum of digits gives 736665667740000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (736665667740001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18490120080 + ... + 18490159920.

It is an arithmetic number, because the mean of its divisors is an integer number (2833680036033).

Almost surely, 2^{736665667740000} 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 736665667740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360166417295840).

736665667740000 is an abundant number, since it is smaller than the sum of its proper divisors (1983667166851680).

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

736665667740000 is a wasteful number, since it uses less digits than its factorization.

736665667740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40330 (or 40301 counting only the distinct ones).

The product of its (nonzero) digits is 160030080, while the sum is 63.

The spelling of 736665667740000 in words is "seven hundred thirty-six trillion, six hundred sixty-five billion, six hundred sixty-seven million, seven hundred forty thousand".