64742565888 has 1152 divisors, whose sum is σ = 261865094400. Its totient is φ = 14987427840.

The previous prime is 64742565857. The next prime is 64742565889. The reversal of 64742565888 is 88856524746.

64742565888 is a `hidden beast` number, since 6 + 4 + 7 + 42 + 5 + 6 + 588 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (64742565889) 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, 2232502258 + ... + 2232502286.

It is an arithmetic number, because the mean of its divisors is an integer number (227313450).

Almost surely, 2^64742565888 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 64742565888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130932547200).

64742565888 is an abundant number, since it is smaller than the sum of its proper divisors (197122528512).

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

64742565888 is a wasteful number, since it uses less digits than its factorization.

64742565888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 65 counting only the distinct ones).

The product of its digits is 103219200, while the sum is 63.

The spelling of 64742565888 in words is "sixty-four billion, seven hundred forty-two million, five hundred sixty-five thousand, eight hundred eighty-eight".