1327668937560 has 384 divisors, whose sum is σ = 5100947280000. Its totient is φ = 299308068864.

The previous prime is 1327668937559. The next prime is 1327668937597. The reversal of 1327668937560 is 657398667231.

1327668937560 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 6 + 68 + 9 + 3 + 7 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8940396 + ... + 9087684.

It is an arithmetic number, because the mean of its divisors is an integer number (13283716875).

Almost surely, 2^{1327668937560} is an apocalyptic number.

1327668937560 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 1327668937560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550473640000).

1327668937560 is an abundant number, since it is smaller than the sum of its proper divisors (3773278342440).

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

1327668937560 is a wasteful number, since it uses less digits than its factorization.

1327668937560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147400 (or 147379 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 1327668937560 in words is "one trillion, three hundred twenty-seven billion, six hundred sixty-eight million, nine hundred thirty-seven thousand, five hundred sixty".