6496745969664 has 144 divisors (see below), whose sum is σ = 18789088827600. Its totient is φ = 2162662785024.

The previous prime is 6496745969663. The next prime is 6496745969669. The reversal of 6496745969664 is 4669695476946.

6496745969664 is a `hidden beast` number, since 6 + 49 + 6 + 7 + 459 + 69 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6496745969663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13457782 + ... + 13932170.

It is an arithmetic number, because the mean of its divisors is an integer number (130479783525).

Almost surely, 2^{6496745969664} is an apocalyptic number.

6496745969664 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 6496745969664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9394544413800).

6496745969664 is an abundant number, since it is smaller than the sum of its proper divisors (12292342857936).

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

6496745969664 is a wasteful number, since it uses less digits than its factorization.

6496745969664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475160 (or 475137 counting only the distinct ones).

The product of its digits is 12697896960, while the sum is 81.

The spelling of 6496745969664 in words is "six trillion, four hundred ninety-six billion, seven hundred forty-five million, nine hundred sixty-nine thousand, six hundred sixty-four".