1328661960976 has 75 divisors (see below), whose sum is σ = 3003661685733. Its totient is φ = 569329729920.

The previous prime is 1328661960971. The next prime is 1328661960991. The reversal of 1328661960976 is 6790691668231.

The square root of 1328661960976 is 1152676.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1107385800976 + 221276160000 = 1052324^2 + 470400^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1328661960971) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 225921556 + ... + 225927436.

Almost surely, 2^{1328661960976} is an apocalyptic number.

1328661960976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1328661960976 is the 1152676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1328661960976

1328661960976 is an abundant number, since it is smaller than the sum of its proper divisors (1674999724757).

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

1328661960976 is an frugal number, since it uses more digits than its factorization.

1328661960976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11798 (or 5890 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 64.

Multiplying 1328661960976 by its sum of digits (64), we get a square (85034365502464 = 9221408²).

The spelling of 1328661960976 in words is "one trillion, three hundred twenty-eight billion, six hundred sixty-one million, nine hundred sixty thousand, nine hundred seventy-six".