1842320664576 has 768 divisors, whose sum is σ = 6592255488000. Its totient is φ = 496628858880.

The previous prime is 1842320664571. The next prime is 1842320664577. The reversal of 1842320664576 is 6754660232481.

1842320664576 is a `hidden beast` number, since 1 + 8 + 4 + 2 + 3 + 2 + 0 + 6 + 64 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×1842320664576² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1842320664571) 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 63 ways as a sum of consecutive naturals, for example, 2919683781 + ... + 2919684411.

It is an arithmetic number, because the mean of its divisors is an integer number (8583666000).

Almost surely, 2^{1842320664576} is an apocalyptic number.

1842320664576 is a gapful number since it is divisible by the number (16) 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 1842320664576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3296127744000).

1842320664576 is an abundant number, since it is smaller than the sum of its proper divisors (4749934823424).

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

1842320664576 is a wasteful number, since it uses less digits than its factorization.

1842320664576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 1842320664576 in words is "one trillion, eight hundred forty-two billion, three hundred twenty million, six hundred sixty-four thousand, five hundred seventy-six".