1329620868576 has 432 divisors, whose sum is σ = 5104642757760. Its totient is φ = 318789319680.

The previous prime is 1329620868497. The next prime is 1329620868617. The reversal of 1329620868576 is 6758680269231.

It is a happy number.

1329620868576 is a `hidden beast` number, since 1 + 32 + 9 + 6 + 20 + 8 + 6 + 8 + 576 = 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 71 ways as a sum of consecutive naturals, for example, 3570355 + ... + 3925133.

It is an arithmetic number, because the mean of its divisors is an integer number (11816302680).

Almost surely, 2^{1329620868576} is an apocalyptic number.

1329620868576 is a gapful number since it is divisible by the number (16) 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 1329620868576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552321378880).

1329620868576 is an abundant number, since it is smaller than the sum of its proper divisors (3775021889184).

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

1329620868576 is a wasteful number, since it uses less digits than its factorization.

1329620868576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354839 (or 354815 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 1329620868576 in words is "one trillion, three hundred twenty-nine billion, six hundred twenty million, eight hundred sixty-eight thousand, five hundred seventy-six".