737868949745664 has 1664 divisors, whose sum is σ = 2380670109941760. Its totient is φ = 200658124800000.

The previous prime is 737868949745659. The next prime is 737868949745689. The reversal of 737868949745664 is 466547949868737.

It is a Harshad number since it is a multiple of its sum of digits (93).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 1946883772227 + ... + 1946883772605.

It is an arithmetic number, because the mean of its divisors is an integer number (1430691171840).

Almost surely, 2^{737868949745664} 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 737868949745664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190335054970880).

737868949745664 is an abundant number, since it is smaller than the sum of its proper divisors (1642801160196096).

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

737868949745664 is a wasteful number, since it uses less digits than its factorization.

737868949745664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 775 counting only the distinct ones).

The product of its digits is 368709304320, while the sum is 93.

The spelling of 737868949745664 in words is "seven hundred thirty-seven trillion, eight hundred sixty-eight billion, nine hundred forty-nine million, seven hundred forty-five thousand, six hundred sixty-four".