64271642688 has 336 divisors, whose sum is σ = 218557108224. Its totient is φ = 17834065920.

The previous prime is 64271642647. The next prime is 64271642731. The reversal of 64271642688 is 88624617246.

It is a happy number.

64271642688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3977281 + ... + 3993407.

It is an arithmetic number, because the mean of its divisors is an integer number (650467584).

Almost surely, 2^64271642688 is an apocalyptic number.

64271642688 is a gapful number since it is divisible by the number (68) 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 64271642688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109278554112).

64271642688 is an abundant number, since it is smaller than the sum of its proper divisors (154285465536).

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

64271642688 is a wasteful number, since it uses less digits than its factorization.

64271642688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16210 (or 16197 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 64271642688 in words is "sixty-four billion, two hundred seventy-one million, six hundred forty-two thousand, six hundred eighty-eight".