1742818968 has 96 divisors (see below), whose sum is σ = 5190082560. Its totient is φ = 523938240.

The previous prime is 1742818963. The next prime is 1742818969. The reversal of 1742818968 is 8698182471.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1742818963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91921 + ... + 109247.

It is an arithmetic number, because the mean of its divisors is an integer number (54063360).

Almost surely, 2^1742818968 is an apocalyptic number.

1742818968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1742818968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595041280).

1742818968 is an abundant number, since it is smaller than the sum of its proper divisors (3447263592).

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

1742818968 is a wasteful number, since it uses less digits than its factorization.

1742818968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17477 (or 17470 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The square root of 1742818968 is about 41747.0833472232. The cubic root of 1742818968 is about 1203.4205572260.

The spelling of 1742818968 in words is "one billion, seven hundred forty-two million, eight hundred eighteen thousand, nine hundred sixty-eight".