6506403264 has 168 divisors, whose sum is σ = 19185940800. Its totient is φ = 2107103232.

The previous prime is 6506403259. The next prime is 6506403271. The reversal of 6506403264 is 4623046056.

6506403264 is a `hidden beast` number, since 6 + 5 + 0 + 640 + 3 + 2 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4032922 + ... + 4034534.

Almost surely, 2^6506403264 is an apocalyptic number.

6506403264 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 6506403264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9592970400).

6506403264 is an abundant number, since it is smaller than the sum of its proper divisors (12679537536).

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

6506403264 is a wasteful number, since it uses less digits than its factorization.

6506403264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 6506403264 is about 80662.2790652483. The cubic root of 6506403264 is about 1866.8682043170.

The spelling of 6506403264 in words is "six billion, five hundred six million, four hundred three thousand, two hundred sixty-four".