1321733064960 has 2592 divisors, whose sum is σ = 6198486577920. Its totient is φ = 263642480640.

The previous prime is 1321733064929. The next prime is 1321733064979. The reversal of 1321733064960 is 694603371231.

1321733064960 is a `hidden beast` number, since 1 + 3 + 217 + 330 + 6 + 49 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7640075434 + ... + 7640075606.

Almost surely, 2^{1321733064960} is an apocalyptic number.

1321733064960 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 1321733064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3099243288960).

1321733064960 is an abundant number, since it is smaller than the sum of its proper divisors (4876753512960).

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

1321733064960 is a wasteful number, since it uses less digits than its factorization.

1321733064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 1321733064960 in words is "one trillion, three hundred twenty-one billion, seven hundred thirty-three million, sixty-four thousand, nine hundred sixty".