6731491953648 has 320 divisors, whose sum is σ = 22828618874880. Its totient is φ = 1655916825600.

The previous prime is 6731491953617. The next prime is 6731491953673. The reversal of 6731491953648 is 8463591941376.

It is a super-3 number, since 3×6731491953648³ (a number of 39 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 268313361 + ... + 268338447.

It is an arithmetic number, because the mean of its divisors is an integer number (71339433984).

Almost surely, 2^{6731491953648} 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 6731491953648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11414309437440).

6731491953648 is an abundant number, since it is smaller than the sum of its proper divisors (16097126921232).

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

6731491953648 is a wasteful number, since it uses less digits than its factorization.

6731491953648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28956 (or 28950 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 66.

The spelling of 6731491953648 in words is "six trillion, seven hundred thirty-one billion, four hundred ninety-one million, nine hundred fifty-three thousand, six hundred forty-eight".