1749671616 has 504 divisors, whose sum is σ = 6238859760. Its totient is φ = 430510080.

The previous prime is 1749671593. The next prime is 1749671621. The reversal of 1749671616 is 6161769471.

It is a super-2 number, since 2×1749671616² = 6122701527672102912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33012646 + ... + 33012698.

It is an arithmetic number, because the mean of its divisors is an integer number (12378690).

Almost surely, 2^1749671616 is an apocalyptic number.

1749671616 is a gapful number since it is divisible by the number (16) 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 1749671616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119429880).

1749671616 is an abundant number, since it is smaller than the sum of its proper divisors (4489188144).

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

1749671616 is a wasteful number, since it uses less digits than its factorization.

1749671616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 105 counting only the distinct ones).

The product of its digits is 381024, while the sum is 48.

The square root of 1749671616 is about 41829.0762030433. The cubic root of 1749671616 is about 1204.9957509764.

The spelling of 1749671616 in words is "one billion, seven hundred forty-nine million, six hundred seventy-one thousand, six hundred sixteen".