4982688000 has 576 divisors, whose sum is σ = 18876748800. Its totient is φ = 1293926400.

The previous prime is 4982687989. The next prime is 4982688017. The reversal of 4982688000 is 8862894.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63071961 + ... + 63072039.

Almost surely, 2^4982688000 is an apocalyptic number.

4982688000 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 4982688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9438374400).

4982688000 is an abundant number, since it is smaller than the sum of its proper divisors (13894060800).

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

4982688000 is an equidigital number, since it uses as much as digits as its factorization.

4982688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 4982688000 is about 70588.1576470161. The cubic root of 4982688000 is about 1708.0001243174. Note that the first 3 decimals are identical.

The spelling of 4982688000 in words is "four billion, nine hundred eighty-two million, six hundred eighty-eight thousand".