1866480000 has 640 divisors, whose sum is σ = 7800503040. Its totient is φ = 384000000.

The previous prime is 1866479983. The next prime is 1866480001. The reversal of 1866480000 is 846681.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1866480001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18479950 + ... + 18480050.

It is an arithmetic number, because the mean of its divisors is an integer number (12188286).

Almost surely, 2^1866480000 is an apocalyptic number.

1866480000 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 1866480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3900251520).

1866480000 is an abundant number, since it is smaller than the sum of its proper divisors (5934023040).

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

1866480000 is a wasteful number, since it uses less digits than its factorization.

1866480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1866480000 is about 43202.7776884774. Note that the first 3 decimals coincide. The cubic root of 1866480000 is about 1231.2354563804.

The spelling of 1866480000 in words is "one billion, eight hundred sixty-six million, four hundred eighty thousand".