4988649600 has 768 divisors, whose sum is σ = 20717424000. Its totient is φ = 1161216000.

The previous prime is 4988649599. The next prime is 4988649613. The reversal of 4988649600 is 69468894.

4988649600 is a `hidden beast` number, since 498 + 8 + 64 + 96 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27561510 + ... + 27561690.

Almost surely, 2^4988649600 is an apocalyptic number.

4988649600 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 4988649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10358712000).

4988649600 is an abundant number, since it is smaller than the sum of its proper divisors (15728774400).

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

4988649600 is a wasteful number, since it uses less digits than its factorization.

4988649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 4988649600 is about 70630.3730699477. The cubic root of 4988649600 is about 1708.6810389348.

The spelling of 4988649600 in words is "four billion, nine hundred eighty-eight million, six hundred forty-nine thousand, six hundred".