4889610008640 has 504 divisors, whose sum is σ = 19570841798040. Its totient is φ = 1117237395456.

The previous prime is 4889610008623. The next prime is 4889610008651. The reversal of 4889610008640 is 468000169884.

4889610008640 is a `hidden beast` number, since 488 + 96 + 10 + 0 + 0 + 8 + 64 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2975128220736 + 1914481787904 = 1724856^2 + 1383648^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 676384546 + ... + 676391774.

Almost surely, 2^{4889610008640} is an apocalyptic number.

4889610008640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4889610008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9785420899020).

4889610008640 is an abundant number, since it is smaller than the sum of its proper divisors (14681231789400).

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

4889610008640 is a wasteful number, since it uses less digits than its factorization.

4889610008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12059 (or 12039 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 4889610008640 in words is "four trillion, eight hundred eighty-nine billion, six hundred ten million, eight thousand, six hundred forty".