64589400225 has 216 divisors, whose sum is σ = 141105156192. Its totient is φ = 28128038400.

The previous prime is 64589400173. The next prime is 64589400241. The reversal of 64589400225 is 52200498546.

64589400225 is a `hidden beast` number, since 6 + 4 + 589 + 40 + 0 + 2 + 25 = 666.

It is not a de Polignac number, because 64589400225 - 2¹⁰ = 64589399201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 19435414 + ... + 19438736.

It is an arithmetic number, because the mean of its divisors is an integer number (653264612).

Almost surely, 2^64589400225 is an apocalyptic number.

It is an amenable number.

64589400225 is an abundant number, since it is smaller than the sum of its proper divisors (76515755967).

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

64589400225 is a wasteful number, since it uses less digits than its factorization.

64589400225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3437 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 64589400225 in words is "sixty-four billion, five hundred eighty-nine million, four hundred thousand, two hundred twenty-five".