742540818240 has 336 divisors, whose sum is σ = 2752890158928. Its totient is φ = 182620127232.

The previous prime is 742540818191. The next prime is 742540818247. The reversal of 742540818240 is 42818045247.

742540818240 is a `hidden beast` number, since 7 + 4 + 2 + 540 + 81 + 8 + 24 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 168861821184 + 573678997056 = 410928^2 + 757416^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742540818247) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 46305264 + ... + 46321296.

It is an arithmetic number, because the mean of its divisors is an integer number (8193125473).

Almost surely, 2^742540818240 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 742540818240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376445079464).

742540818240 is an abundant number, since it is smaller than the sum of its proper divisors (2010349340688).

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

742540818240 is a wasteful number, since it uses less digits than its factorization.

742540818240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17306 (or 17293 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 742540818240 in words is "seven hundred forty-two billion, five hundred forty million, eight hundred eighteen thousand, two hundred forty".