1872671137920 has 384 divisors, whose sum is σ = 7469408494080. Its totient is φ = 427275878400.

The previous prime is 1872671137853. The next prime is 1872671137927. The reversal of 1872671137920 is 297311762781.

1872671137920 is a `hidden beast` number, since 1 + 8 + 7 + 267 + 1 + 1 + 379 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1872671137927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207825 + ... + 1946415.

It is an arithmetic number, because the mean of its divisors is an integer number (19451584620).

Almost surely, 2^{1872671137920} is an apocalyptic number.

1872671137920 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 1872671137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734704247040).

1872671137920 is an abundant number, since it is smaller than the sum of its proper divisors (5596737356160).

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

1872671137920 is a wasteful number, since it uses less digits than its factorization.

1872671137920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738644 (or 1738629 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 1872671137920 in words is "one trillion, eight hundred seventy-two billion, six hundred seventy-one million, one hundred thirty-seven thousand, nine hundred twenty".