6488208000 has 512 divisors, whose sum is σ = 24975475200. Its totient is φ = 1652428800.

The previous prime is 6488207941. The next prime is 6488208031. The reversal of 6488208000 is 8028846.

6488208000 is a `hidden beast` number, since 648 + 8 + 2 + 0 + 8 + 0 + 0 + 0 = 666.

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

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, 9935674 + ... + 9936326.

It is an arithmetic number, because the mean of its divisors is an integer number (48780225).

Almost surely, 2^6488208000 is an apocalyptic number.

6488208000 is a gapful number since it is divisible by the number (60) 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 6488208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12487737600).

6488208000 is an abundant number, since it is smaller than the sum of its proper divisors (18487267200).

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

6488208000 is a wasteful number, since it uses less digits than its factorization.

6488208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 6488208000 is about 80549.4134056853. The cubic root of 6488208000 is about 1865.1263370154.

The spelling of 6488208000 in words is "six billion, four hundred eighty-eight million, two hundred eight thousand".