4880956009664 has 224 divisors, whose sum is σ = 11969901993600. Its totient is φ = 1967099904000.

The previous prime is 4880956009637. The next prime is 4880956009679. The reversal of 4880956009664 is 4669006590884.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×4880956009664² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4880956009664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492971114 + ... + 492981014.

Almost surely, 2^{4880956009664} 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 4880956009664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5984950996800).

4880956009664 is an abundant number, since it is smaller than the sum of its proper divisors (7088945983936).

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

4880956009664 is a wasteful number, since it uses less digits than its factorization.

4880956009664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11272 (or 11248 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 65.

The spelling of 4880956009664 in words is "four trillion, eight hundred eighty billion, nine hundred fifty-six million, nine thousand, six hundred sixty-four".