1873638720 has 168 divisors, whose sum is σ = 6461089440. Its totient is φ = 498355200.

The previous prime is 1873638661. The next prime is 1873638737. The reversal of 1873638720 is 278363781.

1873638720 is a `hidden beast` number, since 1 + 8 + 7 + 3 + 638 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1782195 + ... + 1783245.

Almost surely, 2^1873638720 is an apocalyptic number.

1873638720 is a gapful number since it is divisible by the number (10) 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 1873638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3230544720).

1873638720 is an abundant number, since it is smaller than the sum of its proper divisors (4587450720).

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

1873638720 is a wasteful number, since it uses less digits than its factorization.

1873638720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1680 counting only the distinct ones).

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

The square root of 1873638720 is about 43285.5486276887. The cubic root of 1873638720 is about 1232.8075466797.

The spelling of 1873638720 in words is "one billion, eight hundred seventy-three million, six hundred thirty-eight thousand, seven hundred twenty".