64043008128 has 384 divisors, whose sum is σ = 213186772800. Its totient is φ = 18770227200.

The previous prime is 64043008123. The next prime is 64043008153. The reversal of 64043008128 is 82180034046.

64043008128 is a `hidden beast` number, since 640 + 4 + 3 + 0 + 0 + 8 + 1 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 64043008092 and 64043008101.

It is not an unprimeable number, because it can be changed into a prime (64043008123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36532500 + ... + 36534252.

Almost surely, 2^64043008128 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 64043008128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106593386400).

64043008128 is an abundant number, since it is smaller than the sum of its proper divisors (149143764672).

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

64043008128 is a wasteful number, since it uses less digits than its factorization.

64043008128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 64043008128 in words is "sixty-four billion, forty-three million, eight thousand, one hundred twenty-eight".