742341768 has 96 divisors (see below), whose sum is σ = 2233396800. Its totient is φ = 204774528.

The previous prime is 742341763. The next prime is 742341773. The reversal of 742341768 is 867143247.

742341768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (742341763) and next prime (742341773).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (742341763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23221 + ... + 44987.

It is an arithmetic number, because the mean of its divisors is an integer number (23264550).

Almost surely, 2^742341768 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 742341768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116698400).

742341768 is an abundant number, since it is smaller than the sum of its proper divisors (1491055032).

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

742341768 is a wasteful number, since it uses less digits than its factorization.

742341768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21819 (or 21808 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 742341768 is about 27245.9495705325. The cubic root of 742341768 is about 905.4572815972.

The spelling of 742341768 in words is "seven hundred forty-two million, three hundred forty-one thousand, seven hundred sixty-eight".