2564763327 has 48 divisors (see below), whose sum is σ = 4677903360. Its totient is φ = 1319383296.

The previous prime is 2564763319. The next prime is 2564763343. The reversal of 2564763327 is 7233674652.

2564763327 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 7 + 633 + 2 + 7 = 666.

It is not a de Polignac number, because 2564763327 - 2³ = 2564763319 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564763367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27427 + ... + 76692.

It is an arithmetic number, because the mean of its divisors is an integer number (97456320).

Almost surely, 2^2564763327 is an apocalyptic number.

2564763327 is a deficient number, since it is larger than the sum of its proper divisors (2113140033).

2564763327 is a wasteful number, since it uses less digits than its factorization.

2564763327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104172 (or 104169 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 45.

The square root of 2564763327 is about 50643.4924447357. The cubic root of 2564763327 is about 1368.8286873384.

The spelling of 2564763327 in words is "two billion, five hundred sixty-four million, seven hundred sixty-three thousand, three hundred twenty-seven".