742844544000 has 704 divisors, whose sum is σ = 2701988120832. Its totient is φ = 180043776000.

The previous prime is 742844543999. The next prime is 742844544007. The reversal of 742844544000 is 445448247.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742844544007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 334462890 + ... + 334465110.

It is an arithmetic number, because the mean of its divisors is an integer number (3838051308).

Almost surely, 2^742844544000 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 742844544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350994060416).

742844544000 is an abundant number, since it is smaller than the sum of its proper divisors (1959143576832).

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

742844544000 is a wasteful number, since it uses less digits than its factorization.

742844544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 42.

The spelling of 742844544000 in words is "seven hundred forty-two billion, eight hundred forty-four million, five hundred forty-four thousand".