4987340192960 has 224 divisors, whose sum is σ = 12077882099712. Its totient is φ = 1961391882240.

The previous prime is 4987340192953. The next prime is 4987340192977. The reversal of 4987340192960 is 692910437894.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4987340192893 and 4987340192902.

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, 2999001089 + ... + 2999002751.

Almost surely, 2^{4987340192960} is an apocalyptic number.

4987340192960 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 4987340192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6038941049856).

4987340192960 is an abundant number, since it is smaller than the sum of its proper divisors (7090541906752).

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

4987340192960 is a wasteful number, since it uses less digits than its factorization.

4987340192960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 62.

The spelling of 4987340192960 in words is "four trillion, nine hundred eighty-seven billion, three hundred forty million, one hundred ninety-two thousand, nine hundred sixty".