1332664565760 has 1536 divisors, whose sum is σ = 5564833747200. Its totient is φ = 302367375360.

The previous prime is 1332664565741. The next prime is 1332664565761. The reversal of 1332664565760 is 675654662331.

1332664565760 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 6 + 6 + 4 + 565 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 = 1332664565697 and 1332664565706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332664565761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7445053351 + ... + 7445053529.

Almost surely, 2^{1332664565760} is an apocalyptic number.

1332664565760 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 1332664565760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782416873600).

1332664565760 is an abundant number, since it is smaller than the sum of its proper divisors (4232169181440).

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

1332664565760 is an equidigital number, since it uses as much as digits as its factorization.

1332664565760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 1332664565760 in words is "one trillion, three hundred thirty-two billion, six hundred sixty-four million, five hundred sixty-five thousand, seven hundred sixty".