743815968 has 96 divisors (see below), whose sum is σ = 2259855360. Its totient is φ = 209813760.

The previous prime is 743815913. The next prime is 743815997. The reversal of 743815968 is 869518347.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 743815968.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46083 + ... + 60093.

It is an arithmetic number, because the mean of its divisors is an integer number (23540160).

Almost surely, 2^743815968 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 743815968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129927680).

743815968 is an abundant number, since it is smaller than the sum of its proper divisors (1516039392).

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

743815968 is a wasteful number, since it uses less digits than its factorization.

743815968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14110 (or 14102 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 743815968 is about 27272.9897151009. The cubic root of 743815968 is about 906.0562610950.

The spelling of 743815968 in words is "seven hundred forty-three million, eight hundred fifteen thousand, nine hundred sixty-eight".