1820666691072 has 480 divisors, whose sum is σ = 5637924864000. Its totient is φ = 563932938240.

The previous prime is 1820666691071. The next prime is 1820666691089. The reversal of 1820666691072 is 2701966660281.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1820666691071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1423507329 + ... + 1423508607.

It is an arithmetic number, because the mean of its divisors is an integer number (11745676800).

Almost surely, 2^{1820666691072} is an apocalyptic number.

1820666691072 is a gapful number since it is divisible by the number (12) 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 1820666691072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818962432000).

1820666691072 is an abundant number, since it is smaller than the sum of its proper divisors (3817258172928).

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

1820666691072 is a wasteful number, since it uses less digits than its factorization.

1820666691072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 1820666691072 in words is "one trillion, eight hundred twenty billion, six hundred sixty-six million, six hundred ninety-one thousand, seventy-two".