64541435625 has 240 divisors, whose sum is σ = 127040833920. Its totient is φ = 31477248000.

The previous prime is 64541435599. The next prime is 64541435627. The reversal of 64541435625 is 52653414546.

64541435625 is a `hidden beast` number, since 6 + 4 + 5 + 4 + 14 + 3 + 5 + 625 = 666.

It is not a de Polignac number, because 64541435625 - 2¹² = 64541431529 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (64541435627) 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 239 ways as a sum of consecutive naturals, for example, 464326806 + ... + 464326944.

It is an arithmetic number, because the mean of its divisors is an integer number (529336808).

Almost surely, 2^64541435625 is an apocalyptic number.

It is an amenable number.

64541435625 is a deficient number, since it is larger than the sum of its proper divisors (62499398295).

64541435625 is a wasteful number, since it uses less digits than its factorization.

64541435625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 304 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The spelling of 64541435625 in words is "sixty-four billion, five hundred forty-one million, four hundred thirty-five thousand, six hundred twenty-five".