1749085968 has 320 divisors, whose sum is σ = 5713920000. Its totient is φ = 459486720.

The previous prime is 1749085963. The next prime is 1749085969. The reversal of 1749085968 is 8695809471.

It is not an unprimeable number, because it can be changed into a prime (1749085963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11738758 + ... + 11738906.

It is an arithmetic number, because the mean of its divisors is an integer number (17856000).

Almost surely, 2^1749085968 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 1749085968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856960000).

1749085968 is an abundant number, since it is smaller than the sum of its proper divisors (3964834032).

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

1749085968 is a wasteful number, since it uses less digits than its factorization.

1749085968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 57.

The square root of 1749085968 is about 41822.0751278556. The cubic root of 1749085968 is about 1204.8612910589.

The spelling of 1749085968 in words is "one billion, seven hundred forty-nine million, eighty-five thousand, nine hundred sixty-eight".