6481333152000 has 1152 divisors, whose sum is σ = 27646274073600. Its totient is φ = 1464680448000.

The previous prime is 6481333151999. The next prime is 6481333152013. The reversal of 6481333152000 is 2513331846.

6481333152000 is a `hidden beast` number, since 6 + 4 + 8 + 133 + 315 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 538265980 + ... + 538278020.

It is an arithmetic number, because the mean of its divisors is an integer number (23998501800).

Almost surely, 2^{6481333152000} is an apocalyptic number.

6481333152000 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 6481333152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13823137036800).

6481333152000 is an abundant number, since it is smaller than the sum of its proper divisors (21164940921600).

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

6481333152000 is a wasteful number, since it uses less digits than its factorization.

6481333152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12177 (or 12147 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 6481333152000 its reverse (2513331846), we get a palindrome (6483846483846).

The spelling of 6481333152000 in words is "six trillion, four hundred eighty-one billion, three hundred thirty-three million, one hundred fifty-two thousand".