6486955200 has 1008 divisors, whose sum is σ = 27898526880. Its totient is φ = 1459814400.

The previous prime is 6486955099. The next prime is 6486955201. The reversal of 6486955200 is 25596846.

6486955200 is a `hidden beast` number, since 64 + 8 + 69 + 5 + 520 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6486955201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 88862364 + ... + 88862436.

It is an arithmetic number, because the mean of its divisors is an integer number (27677110).

Almost surely, 2^6486955200 is an apocalyptic number.

6486955200 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 6486955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13949263440).

6486955200 is an abundant number, since it is smaller than the sum of its proper divisors (21411571680).

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

6486955200 is a wasteful number, since it uses less digits than its factorization.

6486955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 6486955200 is about 80541.6364373111. The cubic root of 6486955200 is about 1865.0062843145.

The spelling of 6486955200 in words is "six billion, four hundred eighty-six million, nine hundred fifty-five thousand, two hundred".