64509183648 has 1152 divisors, whose sum is σ = 257402880000. Its totient is φ = 15519651840.

The previous prime is 64509183623. The next prime is 64509183701. The reversal of 64509183648 is 84638190546.

64509183648 is a `hidden beast` number, since 6 + 450 + 9 + 183 + 6 + 4 + 8 = 666.

It is a super-2 number, since 2×64509183648² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 64509183594 and 64509183603.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 324166653 + ... + 324166851.

It is an arithmetic number, because the mean of its divisors is an integer number (223440000).

Almost surely, 2^64509183648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64509183648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128701440000).

64509183648 is an abundant number, since it is smaller than the sum of its proper divisors (192893696352).

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

64509183648 is a wasteful number, since it uses less digits than its factorization.

64509183648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 64509183648 in words is "sixty-four billion, five hundred nine million, one hundred eighty-three thousand, six hundred forty-eight".