6732449920656 has 120 divisors (see below), whose sum is σ = 18926825893560. Its totient is φ = 2234007595008.

The previous prime is 6732449920619. The next prime is 6732449920751. The reversal of 6732449920656 is 6560299442376.

6732449920656 is a `hidden beast` number, since 6 + 73 + 2 + 4 + 499 + 20 + 6 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 841072410000 + 5891377510656 = 917100^2 + 2427216^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6732449920593 and 6732449920602.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 33359380 + ... + 33560588.

It is an arithmetic number, because the mean of its divisors is an integer number (157723549113).

Almost surely, 2^{6732449920656} 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 6732449920656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9463412946780).

6732449920656 is an abundant number, since it is smaller than the sum of its proper divisors (12194375972904).

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

6732449920656 is a wasteful number, since it uses less digits than its factorization.

6732449920656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202273 (or 202264 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 6732449920656 in words is "six trillion, seven hundred thirty-two billion, four hundred forty-nine million, nine hundred twenty thousand, six hundred fifty-six".