2564367663 has 16 divisors (see below), whose sum is σ = 4016912256. Its totient is φ = 1434611040.

The previous prime is 2564367653. The next prime is 2564367667. The reversal of 2564367663 is 3667634652.

2564367663 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2564367663 - 2⁶ = 2564367599 is a prime.

It is a super-2 number, since 2×2564367663² = 13151963022080163138, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564367667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2988345 + ... + 2989202.

It is an arithmetic number, because the mean of its divisors is an integer number (251057016).

Almost surely, 2^2564367663 is an apocalyptic number.

2564367663 is a deficient number, since it is larger than the sum of its proper divisors (1452544593).

2564367663 is a wasteful number, since it uses less digits than its factorization.

2564367663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5977574.

The product of its digits is 3265920, while the sum is 48.

The square root of 2564367663 is about 50639.5859284019. The cubic root of 2564367663 is about 1368.7582943473.

The spelling of 2564367663 in words is "two billion, five hundred sixty-four million, three hundred sixty-seven thousand, six hundred sixty-three".