1749145968 has 80 divisors (see below), whose sum is σ = 5042906400. Its totient is φ = 580469760.

The previous prime is 1749145943. The next prime is 1749146017. The reversal of 1749145968 is 8695419471.

1749145968 is a `hidden beast` number, since 1 + 7 + 49 + 1 + 4 + 596 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 90088 + ... + 107768.

It is an arithmetic number, because the mean of its divisors is an integer number (63036330).

Almost surely, 2^1749145968 is an apocalyptic number.

1749145968 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 1749145968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521453200).

1749145968 is an abundant number, since it is smaller than the sum of its proper divisors (3293760432).

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

1749145968 is a wasteful number, since it uses less digits than its factorization.

1749145968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17927 (or 17915 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 1749145968 is about 41822.7924462248. The cubic root of 1749145968 is about 1204.8750679405.

The spelling of 1749145968 in words is "one billion, seven hundred forty-nine million, one hundred forty-five thousand, nine hundred sixty-eight".