1821645792960 has 1344 divisors, whose sum is σ = 7311856075776. Its totient is φ = 376012800000.

The previous prime is 1821645792847. The next prime is 1821645792991. The reversal of 1821645792960 is 692975461281.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1821645792894 and 1821645792903.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7257552835 + ... + 7257553085.

It is an arithmetic number, because the mean of its divisors is an integer number (5440369104).

Almost surely, 2^{1821645792960} is an apocalyptic number.

1821645792960 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 1821645792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3655928037888).

1821645792960 is an abundant number, since it is smaller than the sum of its proper divisors (5490210282816).

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

1821645792960 is a wasteful number, since it uses less digits than its factorization.

1821645792960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 1821645792960 in words is "one trillion, eight hundred twenty-one billion, six hundred forty-five million, seven hundred ninety-two thousand, nine hundred sixty".