6481125504 has 192 divisors, whose sum is σ = 21369816000. Its totient is φ = 1846941696.

The previous prime is 6481125481. The next prime is 6481125533. The reversal of 6481125504 is 4055211846.

It is a happy number.

6481125504 is a `hidden beast` number, since 6 + 481 + 125 + 50 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 4103787 + ... + 4105365.

It is an arithmetic number, because the mean of its divisors is an integer number (111301125).

Almost surely, 2^6481125504 is an apocalyptic number.

6481125504 is a gapful number since it is divisible by the number (64) 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 6481125504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10684908000).

6481125504 is an abundant number, since it is smaller than the sum of its proper divisors (14888690496).

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

6481125504 is a wasteful number, since it uses less digits than its factorization.

6481125504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 6481125504 is about 80505.4377293857. The cubic root of 6481125504 is about 1864.4474356760.

The spelling of 6481125504 in words is "six billion, four hundred eighty-one million, one hundred twenty-five thousand, five hundred four".