742819968 has 216 divisors, whose sum is σ = 2382155685. Its totient is φ = 222013440.

The previous prime is 742819933. The next prime is 742820003. The reversal of 742819968 is 869918247.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (742819933) and next prime (742820003).

It can be written as a sum of positive squares in 2 ways, for example, as 739404864 + 3415104 = 27192^2 + 1848^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=19272.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10175580 + ... + 10175652.

Almost surely, 2^742819968 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 742819968

742819968 is an abundant number, since it is smaller than the sum of its proper divisors (1639335717).

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

742819968 is a wasteful number, since it uses less digits than its factorization.

742819968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 89 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 742819968 is about 27254.7237740543. The cubic root of 742819968 is about 905.6516649885.

The spelling of 742819968 in words is "seven hundred forty-two million, eight hundred nineteen thousand, nine hundred sixty-eight".