1323496661760 has 3456 divisors, whose sum is σ = 6479724625920. Its totient is φ = 250679328768.

The previous prime is 1323496661749. The next prime is 1323496661777. The reversal of 1323496661760 is 671666943231.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a junction number, because it is equal to n+sod(n) for n = 1323496661697 and 1323496661706.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12369127627 + ... + 12369127733.

It is an arithmetic number, because the mean of its divisors is an integer number (1874920320).

Almost surely, 2^{1323496661760} is an apocalyptic number.

1323496661760 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 1323496661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239862312960).

1323496661760 is an abundant number, since it is smaller than the sum of its proper divisors (5156227964160).

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

1323496661760 is a wasteful number, since it uses less digits than its factorization.

1323496661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 1323496661760 in words is "one trillion, three hundred twenty-three billion, four hundred ninety-six million, six hundred sixty-one thousand, seven hundred sixty".