1873276416 has 320 divisors, whose sum is σ = 6159605760. Its totient is φ = 557383680.

The previous prime is 1873276409. The next prime is 1873276417. The reversal of 1873276416 is 6146723781.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1873276417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14750145 + ... + 14750271.

It is an arithmetic number, because the mean of its divisors is an integer number (19248768).

Almost surely, 2^1873276416 is an apocalyptic number.

1873276416 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 1873276416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079802880).

1873276416 is an abundant number, since it is smaller than the sum of its proper divisors (4286329344).

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

1873276416 is a wasteful number, since it uses less digits than its factorization.

1873276416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 240 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 1873276416 is about 43281.3633796349. The cubic root of 1873276416 is about 1232.7280792254.

The spelling of 1873276416 in words is "one billion, eight hundred seventy-three million, two hundred seventy-six thousand, four hundred sixteen".