6720257329632 has 1440 divisors, whose sum is σ = 25669547253504. Its totient is φ = 1705071513600.

The previous prime is 6720257329631. The next prime is 6720257329661. The reversal of 6720257329632 is 2369237520276.

It is a happy number.

6720257329632 is a `hidden beast` number, since 6 + 7 + 2 + 0 + 2 + 573 + 2 + 9 + 63 + 2 = 666.

It is a super-3 number, since 3×6720257329632³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6720257329631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13360352293 + ... + 13360352795.

Almost surely, 2^{6720257329632} 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 6720257329632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12834773626752).

6720257329632 is an abundant number, since it is smaller than the sum of its proper divisors (18949289923872).

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

6720257329632 is a wasteful number, since it uses less digits than its factorization.

6720257329632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 6720257329632 in words is "six trillion, seven hundred twenty billion, two hundred fifty-seven million, three hundred twenty-nine thousand, six hundred thirty-two".