5640587000064 has 135 divisors (see below), whose sum is σ = 16820229659233. Its totient is φ = 1880081667072.

The previous prime is 5640587000033. The next prime is 5640587000107. The reversal of 5640587000064 is 4600007850465.

The square root of 5640587000064 is 2374992.

It is a perfect power (a square), and thus also a powerful number.

5640587000064 is a `hidden beast` number, since 5 + 6 + 4 + 0 + 587 + 0 + 0 + 0 + 0 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 152849721600 + 5487737278464 = 390960^2 + 2342592^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5640586999983 and 5640587000019.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 341990602 + ... + 342007094.

Almost surely, 2^{5640587000064} is an apocalyptic number.

5640587000064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5640587000064 is the 2374992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5640587000064

5640587000064 is an abundant number, since it is smaller than the sum of its proper divisors (11179642659169).

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

5640587000064 is an frugal number, since it uses more digits than its factorization.

5640587000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33014 (or 16498 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 5640587000064 in words is "five trillion, six hundred forty billion, five hundred eighty-seven million, sixty-four", and thus it is an aban number.