1830864487680 has 1008 divisors, whose sum is σ = 7007792549184. Its totient is φ = 456497233920.

The previous prime is 1830864487567. The next prime is 1830864487681. The reversal of 1830864487680 is 867844680381.

1830864487680 is a `hidden beast` number, since 1 + 8 + 30 + 8 + 64 + 487 + 68 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1830864487681) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3347101167 + ... + 3347101713.

It is an arithmetic number, because the mean of its divisors is an integer number (6952175148).

Almost surely, 2^{1830864487680} is an apocalyptic number.

1830864487680 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 1830864487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3503896274592).

1830864487680 is an abundant number, since it is smaller than the sum of its proper divisors (5176928061504).

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

1830864487680 is an equidigital number, since it uses as much as digits as its factorization.

1830864487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 1830864487680 in words is "one trillion, eight hundred thirty billion, eight hundred sixty-four million, four hundred eighty-seven thousand, six hundred eighty".