743151968 has 96 divisors (see below), whose sum is σ = 1625702400. Its totient is φ = 332259840.

The previous prime is 743151967. The next prime is 743151971. The reversal of 743151968 is 869151347.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (743151961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3734333 + ... + 3734531.

It is an arithmetic number, because the mean of its divisors is an integer number (16934400).

Almost surely, 2^743151968 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 743151968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812851200).

743151968 is an abundant number, since it is smaller than the sum of its proper divisors (882550432).

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

743151968 is a wasteful number, since it uses less digits than its factorization.

743151968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 452 counting only the distinct ones).

The product of its digits is 181440, while the sum is 44.

The square root of 743151968 is about 27260.8137809567. The cubic root of 743151968 is about 905.7865705204.

The spelling of 743151968 in words is "seven hundred forty-three million, one hundred fifty-one thousand, nine hundred sixty-eight".