664016388552 has 320 divisors, whose sum is σ = 2081591265600. Its totient is φ = 196010496000.

The previous prime is 664016388551. The next prime is 664016388569. The reversal of 664016388552 is 255883610466.

664016388552 is a `hidden beast` number, since 6 + 6 + 4 + 0 + 1 + 6 + 3 + 88 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (664016388551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 257469199 + ... + 257471777.

It is an arithmetic number, because the mean of its divisors is an integer number (6504972705).

Almost surely, 2^664016388552 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 664016388552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040795632800).

664016388552 is an abundant number, since it is smaller than the sum of its proper divisors (1417574877048).

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

664016388552 is a wasteful number, since it uses less digits than its factorization.

664016388552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3530 (or 3517 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 664016388552 in words is "six hundred sixty-four billion, sixteen million, three hundred eighty-eight thousand, five hundred fifty-two".