64185433056 has 144 divisors (see below), whose sum is σ = 184497112800. Its totient is φ = 21164903424.

The previous prime is 64185433001. The next prime is 64185433063. The reversal of 64185433056 is 65033458146.

64185433056 is a `hidden beast` number, since 64 + 18 + 543 + 30 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26336670 + ... + 26339106.

It is an arithmetic number, because the mean of its divisors is an integer number (1281229950).

Almost surely, 2^64185433056 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 64185433056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92248556400).

64185433056 is an abundant number, since it is smaller than the sum of its proper divisors (120311679744).

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

64185433056 is a wasteful number, since it uses less digits than its factorization.

64185433056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3401 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 64185433056 in words is "sixty-four billion, one hundred eighty-five million, four hundred thirty-three thousand, fifty-six".