756643680 has 336 divisors, whose sum is σ = 2892078000. Its totient is φ = 185877504.

The previous prime is 756643651. The next prime is 756643681. The reversal of 756643680 is 86346657.

756643680 is a `hidden beast` number, since 7 + 566 + 4 + 3 + 6 + 80 = 666.

756643680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (756643681) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1516071 + ... + 1516569.

It is an arithmetic number, because the mean of its divisors is an integer number (8607375).

Almost surely, 2^756643680 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 756643680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446039000).

756643680 is an abundant number, since it is smaller than the sum of its proper divisors (2135434320).

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

756643680 is a wasteful number, since it uses less digits than its factorization.

756643680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 756643680 is about 27507.1568868904. The cubic root of 756643680 is about 911.2351620812.

The spelling of 756643680 in words is "seven hundred fifty-six million, six hundred forty-three thousand, six hundred eighty".