743098968 has 128 divisors (see below), whose sum is σ = 2300832000. Its totient is φ = 220838400.

The previous prime is 743098963. The next prime is 743098969. The reversal of 743098968 is 869890347.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (743098963) 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 31 ways as a sum of consecutive naturals, for example, 64443 + ... + 75093.

It is an arithmetic number, because the mean of its divisors is an integer number (17975250).

Almost surely, 2^743098968 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 743098968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150416000).

743098968 is an abundant number, since it is smaller than the sum of its proper divisors (1557733032).

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

743098968 is a wasteful number, since it uses less digits than its factorization.

743098968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10702 (or 10692 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 743098968 is about 27259.8416723208. The cubic root of 743098968 is about 905.7650370918.

The spelling of 743098968 in words is "seven hundred forty-three million, ninety-eight thousand, nine hundred sixty-eight".