64645824002560 has 40 divisors (see below), whose sum is σ = 154998463962276. Its totient is φ = 25858329600000.

The previous prime is 64645824002549. The next prime is 64645824002567. The reversal of 64645824002560 is 6520042854646.

64645824002560 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 61197701826816 + 3448122175744 = 7822896^2 + 1856912^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 64645824002498 and 64645824002507.

It is not an unprimeable number, because it can be changed into a prime (64645824002567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12626134941 + ... + 12626140060.

Almost surely, 2^{64645824002560} is an apocalyptic number.

It is an amenable number.

64645824002560 is an abundant number, since it is smaller than the sum of its proper divisors (90352639959716).

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

64645824002560 is an equidigital number, since it uses as much as digits as its factorization.

64645824002560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25252275024 (or 25252275008 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 52.

The spelling of 64645824002560 in words is "sixty-four trillion, six hundred forty-five billion, eight hundred twenty-four million, two thousand, five hundred sixty".