43680976560 has 480 divisors, whose sum is σ = 166597337088. Its totient is φ = 10180823040.

The previous prime is 43680976541. The next prime is 43680976561. The reversal of 43680976560 is 6567908634.

43680976560 is a `hidden beast` number, since 4 + 3 + 6 + 8 + 0 + 9 + 76 + 560 = 666.

43680976560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 43680976497 and 43680976506.

It is not an unprimeable number, because it can be changed into a prime (43680976561) 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, 13635919 + ... + 13639121.

Almost surely, 2^43680976560 is an apocalyptic number.

43680976560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43680976560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83298668544).

43680976560 is an abundant number, since it is smaller than the sum of its proper divisors (122916360528).

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

43680976560 is a wasteful number, since it uses less digits than its factorization.

43680976560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3313 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 43680976560 in words is "forty-three billion, six hundred eighty million, nine hundred seventy-six thousand, five hundred sixty".