6481403136 has 288 divisors, whose sum is σ = 21860334720. Its totient is φ = 1876525056.

The previous prime is 6481403129. The next prime is 6481403143. The reversal of 6481403136 is 6313041846.

It is a happy number.

6481403136 is a `hidden beast` number, since 6 + 481 + 40 + 3 + 136 = 666.

It is an interprime number because it is at equal distance from previous prime (6481403129) and next prime (6481403143).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×6481403136² = 84017173222701268992, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6481403136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1525431 + ... + 1529673.

It is an arithmetic number, because the mean of its divisors is an integer number (75903940).

Almost surely, 2^6481403136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6481403136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10930167360).

6481403136 is an abundant number, since it is smaller than the sum of its proper divisors (15378931584).

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

6481403136 is a wasteful number, since it uses less digits than its factorization.

6481403136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4298 (or 4278 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6481403136 is about 80507.1620168044. The cubic root of 6481403136 is about 1864.4740577434.

The spelling of 6481403136 in words is "six billion, four hundred eighty-one million, four hundred three thousand, one hundred thirty-six".