64487771712 has 1008 divisors, whose sum is σ = 255822053760. Its totient is φ = 15113060352.

The previous prime is 64487771683. The next prime is 64487771717. The reversal of 64487771712 is 21717778446.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (64487771717) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 220094638 + ... + 220094930.

It is an arithmetic number, because the mean of its divisors is an integer number (253791720).

Almost surely, 2^64487771712 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 64487771712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127911026880).

64487771712 is an abundant number, since it is smaller than the sum of its proper divisors (191334282048).

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

64487771712 is a wasteful number, since it uses less digits than its factorization.

64487771712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 354 counting only the distinct ones).

The product of its digits is 3687936, while the sum is 54.

The spelling of 64487771712 in words is "sixty-four billion, four hundred eighty-seven million, seven hundred seventy-one thousand, seven hundred twelve".