64432238584896 has 560 divisors, whose sum is σ = 235114922972160. Its totient is φ = 16990134497280.

The previous prime is 64432238584873. The next prime is 64432238584907. The reversal of 64432238584896 is 69848583223446.

64432238584896 is a `hidden beast` number, since 6 + 4 + 4 + 3 + 2 + 2 + 38 + 584 + 8 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4392401050 + ... + 4392415718.

It is an arithmetic number, because the mean of its divisors is an integer number (419848076736).

Almost surely, 2^{64432238584896} 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 64432238584896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117557461486080).

64432238584896 is an abundant number, since it is smaller than the sum of its proper divisors (170682684387264).

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

64432238584896 is a wasteful number, since it uses less digits than its factorization.

64432238584896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24024 (or 24005 counting only the distinct ones).

The product of its digits is 1911029760, while the sum is 72.

The spelling of 64432238584896 in words is "sixty-four trillion, four hundred thirty-two billion, two hundred thirty-eight million, five hundred eighty-four thousand, eight hundred ninety-six".