4664542656672 has 768 divisors, whose sum is σ = 15244443648000. Its totient is φ = 1380904132608.

The previous prime is 4664542656671. The next prime is 4664542656689. The reversal of 4664542656672 is 2766562454664.

4664542656672 is a `hidden beast` number, since 4 + 6 + 6 + 45 + 4 + 26 + 566 + 7 + 2 = 666.

It is a super-2 number, since 2×4664542656672² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4664542656671) 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 127 ways as a sum of consecutive naturals, for example, 4267650558 + ... + 4267651650.

It is an arithmetic number, because the mean of its divisors is an integer number (19849536000).

Almost surely, 2^{4664542656672} 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 4664542656672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7622221824000).

4664542656672 is an abundant number, since it is smaller than the sum of its proper divisors (10579900991328).

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

4664542656672 is a wasteful number, since it uses less digits than its factorization.

4664542656672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1356 counting only the distinct ones).

The product of its digits is 348364800, while the sum is 63.

The spelling of 4664542656672 in words is "four trillion, six hundred sixty-four billion, five hundred forty-two million, six hundred fifty-six thousand, six hundred seventy-two".