742845168 has 320 divisors, whose sum is σ = 2459842560. Its totient is φ = 215550720.

The previous prime is 742845139. The next prime is 742845197. The reversal of 742845168 is 861548247.

742845168 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 (742845139) and next prime (742845197).

Its product of digits (430080) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10462573 + ... + 10462643.

It is an arithmetic number, because the mean of its divisors is an integer number (7687008).

Almost surely, 2^742845168 is an apocalyptic number.

742845168 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742845168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229921280).

742845168 is an abundant number, since it is smaller than the sum of its proper divisors (1716997392).

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

742845168 is a wasteful number, since it uses less digits than its factorization.

742845168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 112 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 742845168 is about 27255.1860753142. The cubic root of 742845168 is about 905.6619062156.

The spelling of 742845168 in words is "seven hundred forty-two million, eight hundred forty-five thousand, one hundred sixty-eight".