4987180800 has 1296 divisors, whose sum is σ = 23115187200. Its totient is φ = 1045094400.

The previous prime is 4987180789. The next prime is 4987180817. The reversal of 4987180800 is 80817894.

4987180800 is a `hidden beast` number, since 498 + 7 + 1 + 80 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 160876785 + ... + 160876815.

Almost surely, 2^4987180800 is an apocalyptic number.

4987180800 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 4987180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11557593600).

4987180800 is an abundant number, since it is smaller than the sum of its proper divisors (18128006400).

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

4987180800 is a wasteful number, since it uses less digits than its factorization.

4987180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 4987180800 is about 70619.9745114652. The cubic root of 4987180800 is about 1708.5133277463.

The spelling of 4987180800 in words is "four billion, nine hundred eighty-seven million, one hundred eighty thousand, eight hundred".