64068042528 has 768 divisors, whose sum is σ = 235073664000. Its totient is φ = 17118646272.

The previous prime is 64068042487. The next prime is 64068042551. The reversal of 64068042528 is 82524086046.

64068042528 is a `hidden beast` number, since 6 + 4 + 0 + 6 + 80 + 42 + 528 = 666.

64068042528 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 127 ways as a sum of consecutive naturals, for example, 408076626 + ... + 408076782.

It is an arithmetic number, because the mean of its divisors is an integer number (306085500).

Almost surely, 2^64068042528 is an apocalyptic number.

64068042528 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 64068042528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117536832000).

64068042528 is an abundant number, since it is smaller than the sum of its proper divisors (171005621472).

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

64068042528 is an equidigital number, since it uses as much as digits as its factorization.

64068042528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 64068042528 in words is "sixty-four billion, sixty-eight million, forty-two thousand, five hundred twenty-eight".