1822678640640 has 1920 divisors, whose sum is σ = 7799551119360. Its totient is φ = 404660551680.

The previous prime is 1822678640639. The next prime is 1822678640647. The reversal of 1822678640640 is 460468762281.

It is a happy number.

1822678640640 is a `hidden beast` number, since 1 + 8 + 226 + 7 + 8 + 6 + 406 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 (1822678640647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14351800257 + ... + 14351800383.

It is an arithmetic number, because the mean of its divisors is an integer number (4062266208).

Almost surely, 2^{1822678640640} is an apocalyptic number.

1822678640640 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 1822678640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3899775559680).

1822678640640 is an abundant number, since it is smaller than the sum of its proper divisors (5976872478720).

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

1822678640640 is a wasteful number, since it uses less digits than its factorization.

1822678640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 1822678640640 in words is "one trillion, eight hundred twenty-two billion, six hundred seventy-eight million, six hundred forty thousand, six hundred forty".