4987344960 has 840 divisors, whose sum is σ = 20655829656. Its totient is φ = 1134673920.

The previous prime is 4987344949. The next prime is 4987345003. The reversal of 4987344960 is 694437894.

It is a happy number.

4987344960 is a `hidden beast` number, since 49 + 87 + 34 + 496 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 119771136 + 4867573824 = 10944^2 + 69768^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4987344897 and 4987344906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 121642540 + ... + 121642580.

Almost surely, 2^4987344960 is an apocalyptic number.

4987344960 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 4987344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10327914828).

4987344960 is an abundant number, since it is smaller than the sum of its proper divisors (15668484696).

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

4987344960 is a wasteful number, since it uses less digits than its factorization.

4987344960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 4987344960 is about 70621.1367792958. The cubic root of 4987344960 is about 1708.5320735723.

The spelling of 4987344960 in words is "four billion, nine hundred eighty-seven million, three hundred forty-four thousand, nine hundred sixty".