6504958144664 has 64 divisors (see below), whose sum is σ = 14081498991360. Its totient is φ = 2759423172480.

The previous prime is 6504958144651. The next prime is 6504958144691. The reversal of 6504958144664 is 4664418594056.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 6504958144597 and 6504958144606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6553094 + ... + 7480170.

It is an arithmetic number, because the mean of its divisors is an integer number (220023421740).

Almost surely, 2^{6504958144664} 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 6504958144664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7040749495680).

6504958144664 is an abundant number, since it is smaller than the sum of its proper divisors (7576540846696).

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

6504958144664 is a wasteful number, since it uses less digits than its factorization.

6504958144664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928368 (or 928364 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 62.

The spelling of 6504958144664 in words is "six trillion, five hundred four billion, nine hundred fifty-eight million, one hundred forty-four thousand, six hundred sixty-four".