6507004307328 has 576 divisors, whose sum is σ = 23360869443600. Its totient is φ = 1728047333376.

The previous prime is 6507004307239. The next prime is 6507004307407. The reversal of 6507004307328 is 8237034007056.

6507004307328 is a `hidden beast` number, since 65 + 0 + 70 + 0 + 430 + 73 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×6507004307328² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56785900 + ... + 56900372.

Almost surely, 2^{6507004307328} 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 6507004307328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11680434721800).

6507004307328 is an abundant number, since it is smaller than the sum of its proper divisors (16853865136272).

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

6507004307328 is a wasteful number, since it uses less digits than its factorization.

6507004307328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114579 (or 114557 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 6507004307328 in words is "six trillion, five hundred seven billion, four million, three hundred seven thousand, three hundred twenty-eight".