4987008000 has 880 divisors, whose sum is σ = 20556039504. Its totient is φ = 1194393600.

The previous prime is 4987007951. The next prime is 4987008011. The reversal of 4987008000 is 8007894.

It can be written as a sum of positive squares in 8 ways, for example, as 1467196416 + 3519811584 = 38304^2 + 59328^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 134783982 + ... + 134784018.

Almost surely, 2^4987008000 is an apocalyptic number.

4987008000 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 4987008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10278019752).

4987008000 is an abundant number, since it is smaller than the sum of its proper divisors (15569031504).

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

4987008000 is a wasteful number, since it uses less digits than its factorization.

4987008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 4987008000 is about 70618.7510509780. The cubic root of 4987008000 is about 1708.4935948534.

The spelling of 4987008000 in words is "four billion, nine hundred eighty-seven million, eight thousand".