4987584000 has 480 divisors, whose sum is σ = 20547274176. Its totient is φ = 1139097600.

The previous prime is 4987583989. The next prime is 4987584001. The reversal of 4987584000 is 4857894.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×4987584000³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4987584001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4031382 + ... + 4032618.

Almost surely, 2^4987584000 is an apocalyptic number.

4987584000 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 4987584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10273637088).

4987584000 is an abundant number, since it is smaller than the sum of its proper divisors (15559690176).

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

4987584000 is a wasteful number, since it uses less digits than its factorization.

4987584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 4987584000 is about 70622.8291701770. The cubic root of 4987584000 is about 1708.5593693904.

The spelling of 4987584000 in words is "four billion, nine hundred eighty-seven million, five hundred eighty-four thousand".