6496573817664 has 1344 divisors, whose sum is σ = 23533486080000. Its totient is φ = 1708694507520.

The previous prime is 6496573817627. The next prime is 6496573817771. The reversal of 6496573817664 is 4667183756946.

6496573817664 is a `hidden beast` number, since 6 + 49 + 6 + 573 + 8 + 1 + 7 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6496573817592 and 6496573817601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14031476697 + ... + 14031477159.

Almost surely, 2^{6496573817664} is an apocalyptic number.

6496573817664 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 6496573817664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11766743040000).

6496573817664 is an abundant number, since it is smaller than the sum of its proper divisors (17036912262336).

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

6496573817664 is a wasteful number, since it uses less digits than its factorization.

6496573817664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 614 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 72.

The spelling of 6496573817664 in words is "six trillion, four hundred ninety-six billion, five hundred seventy-three million, eight hundred seventeen thousand, six hundred sixty-four".