6722732588544 has 1440 divisors, whose sum is σ = 24886127185920. Its totient is φ = 1801408315392.

The previous prime is 6722732588461. The next prime is 6722732588609. The reversal of 6722732588544 is 4458852372276.

It is a happy number.

6722732588544 is a `hidden beast` number, since 6 + 7 + 2 + 2 + 7 + 3 + 2 + 5 + 88 + 544 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14710574364 + ... + 14710574820.

It is an arithmetic number, because the mean of its divisors is an integer number (17282032768).

Almost surely, 2^{6722732588544} is an apocalyptic number.

6722732588544 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 6722732588544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12443063592960).

6722732588544 is an abundant number, since it is smaller than the sum of its proper divisors (18163394597376).

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

6722732588544 is a wasteful number, since it uses less digits than its factorization.

6722732588544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 615 counting only the distinct ones).

The product of its digits is 180633600, while the sum is 63.

The spelling of 6722732588544 in words is "six trillion, seven hundred twenty-two billion, seven hundred thirty-two million, five hundred eighty-eight thousand, five hundred forty-four".