4887862087680 has 1248 divisors, whose sum is σ = 20394482838912. Its totient is φ = 1066873651200.

The previous prime is 4887862087679. The next prime is 4887862087681. The reversal of 4887862087680 is 867802687884.

4887862087680 is a `hidden beast` number, since 488 + 7 + 8 + 6 + 2 + 0 + 87 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4887862087679) and next prime (4887862087681).

It is a tau number, because it is divible by the number of its divisors (1248).

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

It is a junction number, because it is equal to n+sod(n) for n = 4887862087599 and 4887862087608.

It is not an unprimeable number, because it can be changed into a prime (4887862087681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1080665899 + ... + 1080670421.

It is an arithmetic number, because the mean of its divisors is an integer number (16341733044).

Almost surely, 2^{4887862087680} is an apocalyptic number.

4887862087680 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 4887862087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10197241419456).

4887862087680 is an abundant number, since it is smaller than the sum of its proper divisors (15506620751232).

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

4887862087680 is a wasteful number, since it uses less digits than its factorization.

4887862087680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4623 (or 4598 counting only the distinct ones).

The product of its (nonzero) digits is 462422016, while the sum is 72.

The spelling of 4887862087680 in words is "four trillion, eight hundred eighty-seven billion, eight hundred sixty-two million, eighty-seven thousand, six hundred eighty".