7262680033728 has 1008 divisors, whose sum is σ = 25763936889600. Its totient is φ = 1947126988800.

The previous prime is 7262680033727. The next prime is 7262680033787. The reversal of 7262680033728 is 8273300862627.

7262680033728 is a `hidden beast` number, since 7 + 2 + 6 + 268 + 0 + 0 + 3 + 372 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×7262680033728² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7262680033727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6923431348 + ... + 6923432396.

It is an arithmetic number, because the mean of its divisors is an integer number (25559461200).

Almost surely, 2^{7262680033728} 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 7262680033728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12881968444800).

7262680033728 is an abundant number, since it is smaller than the sum of its proper divisors (18501256855872).

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

7262680033728 is a wasteful number, since it uses less digits than its factorization.

7262680033728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 7262680033728 in words is "seven trillion, two hundred sixty-two billion, six hundred eighty million, thirty-three thousand, seven hundred twenty-eight".