1841968800 has 648 divisors, whose sum is σ = 7918930656. Its totient is φ = 400942080.

The previous prime is 1841968783. The next prime is 1841968801. The reversal of 1841968800 is 88691481.

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

It is not an unprimeable number, because it can be changed into a prime (1841968801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8114287 + ... + 8114513.

It is an arithmetic number, because the mean of its divisors is an integer number (12220572).

Almost surely, 2^1841968800 is an apocalyptic number.

1841968800 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 1841968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959465328).

1841968800 is an abundant number, since it is smaller than the sum of its proper divisors (6076961856).

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

1841968800 is a wasteful number, since it uses less digits than its factorization.

1841968800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 1841968800 is about 42918.1639868250. The cubic root of 1841968800 is about 1225.8220332872.

The spelling of 1841968800 in words is "one billion, eight hundred forty-one million, nine hundred sixty-eight thousand, eight hundred".