1869340999680 has 1600 divisors, whose sum is σ = 8458728696000. Its totient is φ = 388434493440.

The previous prime is 1869340999661. The next prime is 1869340999711. The reversal of 1869340999680 is 869990439681.

1869340999680 is a `hidden beast` number, since 18 + 69 + 3 + 409 + 99 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1869340999599 and 1869340999608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 169940090875 + ... + 169940090885.

It is an arithmetic number, because the mean of its divisors is an integer number (5286705435).

Almost surely, 2^{1869340999680} is an apocalyptic number.

1869340999680 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 1869340999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4229364348000).

1869340999680 is an abundant number, since it is smaller than the sum of its proper divisors (6589387696320).

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

1869340999680 is an frugal number, since it uses more digits than its factorization.

1869340999680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 181398528, while the sum is 72.

The spelling of 1869340999680 in words is "one trillion, eight hundred sixty-nine billion, three hundred forty million, nine hundred ninety-nine thousand, six hundred eighty".