1027806660864 has 81 divisors (see below), whose sum is σ = 2963560299609. Its totient is φ = 342585999360.

The previous prime is 1027806660833. The next prime is 1027806660877. The reversal of 1027806660864 is 4680666087201.

The square root of 1027806660864 is 1013808.

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., 753062955264 + 274743705600 = 867792^2 + 524160^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1027806660864.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 48652224 + ... + 48673344.

Almost surely, 2^{1027806660864} is an apocalyptic number.

1027806660864 is the 1013808-th square number.

It is an amenable number.

1027806660864 is an abundant number, since it is smaller than the sum of its proper divisors (1935753638745).

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

1027806660864 is an frugal number, since it uses more digits than its factorization.

1027806660864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42264 (or 21126 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 1027806660864 in words is "one trillion, twenty-seven billion, eight hundred six million, six hundred sixty thousand, eight hundred sixty-four".