664124832 has 336 divisors, whose sum is σ = 2313662400. Its totient is φ = 187463808.

The previous prime is 664124801. The next prime is 664124849. The reversal of 664124832 is 238421466.

664124832 is a `hidden beast` number, since 6 + 641 + 2 + 4 + 8 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8001463 + ... + 8001545.

It is an arithmetic number, because the mean of its divisors is an integer number (6885900).

Almost surely, 2^664124832 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 664124832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156831200).

664124832 is an abundant number, since it is smaller than the sum of its proper divisors (1649537568).

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

664124832 is an frugal number, since it uses more digits than its factorization.

664124832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 95 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 664124832 is about 25770.6195501777. The cubic root of 664124832 is about 872.4688021510.

The spelling of 664124832 in words is "six hundred sixty-four million, one hundred twenty-four thousand, eight hundred thirty-two".