4890884981760 has 1056 divisors, whose sum is σ = 18830369376000. Its totient is φ = 1168162947072.

The previous prime is 4890884981699. The next prime is 4890884981767. The reversal of 4890884981760 is 671894880984.

It is a happy number.

4890884981760 is a `hidden beast` number, since 48 + 9 + 0 + 88 + 498 + 17 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (4890884981767) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1792188076 + ... + 1792190804.

Almost surely, 2^{4890884981760} is an apocalyptic number.

4890884981760 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 4890884981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9415184688000).

4890884981760 is an abundant number, since it is smaller than the sum of its proper divisors (13939484394240).

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

4890884981760 is a wasteful number, since it uses less digits than its factorization.

4890884981760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 72.

The spelling of 4890884981760 in words is "four trillion, eight hundred ninety billion, eight hundred eighty-four million, nine hundred eighty-one thousand, seven hundred sixty".