4072680533376 has 768 divisors, whose sum is σ = 15002563430400. Its totient is φ = 1031776911360.

The previous prime is 4072680533371. The next prime is 4072680533377. The reversal of 4072680533376 is 6733350862704.

4072680533376 is a `hidden beast` number, since 4 + 0 + 7 + 26 + 80 + 533 + 3 + 7 + 6 = 666.

4072680533376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×4072680533376³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4072680533371) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 306417291 + ... + 306430581.

It is an arithmetic number, because the mean of its divisors is an integer number (19534587800).

Almost surely, 2^{4072680533376} 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 4072680533376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7501281715200).

4072680533376 is an abundant number, since it is smaller than the sum of its proper divisors (10929882897024).

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

4072680533376 is a wasteful number, since it uses less digits than its factorization.

4072680533376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13447 (or 13432 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 4072680533376 in words is "four trillion, seventy-two billion, six hundred eighty million, five hundred thirty-three thousand, three hundred seventy-six".