742326048 has 144 divisors (see below), whose sum is σ = 2234494080. Its totient is φ = 233114112.

The previous prime is 742326007. The next prime is 742326059. The reversal of 742326048 is 840623247.

742326048 is a `hidden beast` number, since 7 + 42 + 3 + 2 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1603065 + ... + 1603527.

It is an arithmetic number, because the mean of its divisors is an integer number (15517320).

Almost surely, 2^742326048 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 742326048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117247040).

742326048 is an abundant number, since it is smaller than the sum of its proper divisors (1492168032).

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

742326048 is a wasteful number, since it uses less digits than its factorization.

742326048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 742326048 is about 27245.6610857582. The cubic root of 742326048 is about 905.4508901615.

The spelling of 742326048 in words is "seven hundred forty-two million, three hundred twenty-six thousand, forty-eight".