6731468561664 has 540 divisors, whose sum is σ = 25214505705312. Its totient is φ = 1748428830720.

The previous prime is 6731468561651. The next prime is 6731468561683. The reversal of 6731468561664 is 4661658641376.

6731468561664 is a `hidden beast` number, since 6 + 7 + 3 + 1 + 4 + 6 + 8 + 5 + 616 + 6 + 4 = 666.

It is a super-3 number, since 3×6731468561664³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17371759 + ... + 17755025.

Almost surely, 2^{6731468561664} is an apocalyptic number.

6731468561664 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 6731468561664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12607252852656).

6731468561664 is an abundant number, since it is smaller than the sum of its proper divisors (18483037143648).

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

6731468561664 is a wasteful number, since it uses less digits than its factorization.

6731468561664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383324 (or 383290 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 6731468561664 in words is "six trillion, seven hundred thirty-one billion, four hundred sixty-eight million, five hundred sixty-one thousand, six hundred sixty-four".