64567585080 has 320 divisors, whose sum is σ = 230833152000. Its totient is φ = 16131280896.

The previous prime is 64567585073. The next prime is 64567585081. The reversal of 64567585080 is 8058576546.

64567585080 is a `hidden beast` number, since 6 + 4 + 56 + 7 + 585 + 0 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64567585081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12610761 + ... + 12615879.

It is an arithmetic number, because the mean of its divisors is an integer number (721353600).

Almost surely, 2^64567585080 is an apocalyptic number.

64567585080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64567585080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115416576000).

64567585080 is an abundant number, since it is smaller than the sum of its proper divisors (166265566920).

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

64567585080 is a wasteful number, since it uses less digits than its factorization.

64567585080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5388 (or 5375 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 64567585080 in words is "sixty-four billion, five hundred sixty-seven million, five hundred eighty-five thousand, eighty".