64087648128 has 768 divisors, whose sum is σ = 233002598400. Its totient is φ = 16497561600.

The previous prime is 64087648127. The next prime is 64087648139. The reversal of 64087648128 is 82184678046.

64087648128 is a `hidden beast` number, since 6 + 408 + 76 + 48 + 128 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64087648127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 489218623 + ... + 489218753.

It is an arithmetic number, because the mean of its divisors is an integer number (303388800).

Almost surely, 2^64087648128 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 64087648128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116501299200).

64087648128 is an abundant number, since it is smaller than the sum of its proper divisors (168914950272).

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

64087648128 is a wasteful number, since it uses less digits than its factorization.

64087648128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 64087648128 in words is "sixty-four billion, eighty-seven million, six hundred forty-eight thousand, one hundred twenty-eight".