6484060800 has 768 divisors, whose sum is σ = 27683942400. Its totient is φ = 1451520000.

The previous prime is 6484060789. The next prime is 6484060811. The reversal of 6484060800 is 80604846.

6484060800 is a `hidden beast` number, since 6 + 4 + 8 + 40 + 608 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6484060789) and next prime (6484060811).

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 95 ways as a sum of consecutive naturals, for example, 42940725 + ... + 42940875.

It is an arithmetic number, because the mean of its divisors is an integer number (36046800).

Almost surely, 2^6484060800 is an apocalyptic number.

6484060800 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 6484060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13841971200).

6484060800 is an abundant number, since it is smaller than the sum of its proper divisors (21199881600).

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

6484060800 is a wasteful number, since it uses less digits than its factorization.

6484060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6484060800 is about 80523.6660864370. Note that the first 3 decimals coincide. The cubic root of 6484060800 is about 1864.7288620584.

The spelling of 6484060800 in words is "six billion, four hundred eighty-four million, sixty thousand, eight hundred".