1675563264 has 54 divisors (see below), whose sum is σ = 4831068606. Its totient is φ = 558520320.

The previous prime is 1675563257. The next prime is 1675563283. The reversal of 1675563264 is 4623655761.

1675563264 is a `hidden beast` number, since 1 + 6 + 7 + 5 + 5 + 632 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1583403264 + 92160000 = 39792^2 + 9600^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 361317 + ... + 365924.

Almost surely, 2^1675563264 is an apocalyptic number.

It is an amenable number.

1675563264 is an abundant number, since it is smaller than the sum of its proper divisors (3155505342).

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

1675563264 is an equidigital number, since it uses as much as digits as its factorization.

1675563264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727263 (or 727246 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 1675563264 is about 40933.6446459389. The cubic root of 1675563264 is about 1187.7369754064.

It can be divided in two parts, 167556 and 3264, that added together give a triangular number (170820 = T₅₈₄).

The spelling of 1675563264 in words is "one billion, six hundred seventy-five million, five hundred sixty-three thousand, two hundred sixty-four".