2563784003664 has 120 divisors (see below), whose sum is σ = 7872752127240. Its totient is φ = 773972499456.

The previous prime is 2563784003663. The next prime is 2563784003689. The reversal of 2563784003664 is 4663004873652.

2563784003664 is a `hidden beast` number, since 2 + 563 + 7 + 8 + 40 + 0 + 36 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8517813264 + 2555266190400 = 92292^2 + 1598520^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2563784003664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2563784003663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12820999 + ... + 13019430.

It is an arithmetic number, because the mean of its divisors is an integer number (65606267727).

Almost surely, 2^{2563784003664} is an apocalyptic number.

2563784003664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2563784003664 is an abundant number, since it is smaller than the sum of its proper divisors (5308968123576).

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

2563784003664 is a wasteful number, since it uses less digits than its factorization.

2563784003664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25840509 (or 25840500 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 2563784003664 in words is "two trillion, five hundred sixty-three billion, seven hundred eighty-four million, three thousand, six hundred sixty-four".