1867380480000 has 2400 divisors, whose sum is σ = 8321652218880. Its totient is φ = 408084480000.

The previous prime is 1867380479959. The next prime is 1867380480037. The reversal of 1867380480000 is 840837681.

It is a tau number, because it is divible by the number of its divisors (2400).

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 polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 22498559959 + ... + 22498560041.

Almost surely, 2^{1867380480000} is an apocalyptic number.

1867380480000 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 1867380480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160826109440).

1867380480000 is an abundant number, since it is smaller than the sum of its proper divisors (6454271738880).

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

1867380480000 is an frugal number, since it uses more digits than its factorization.

1867380480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 1867380480000 in words is "one trillion, eight hundred sixty-seven billion, three hundred eighty million, four hundred eighty thousand".