43680555072 has 1120 divisors, whose sum is σ = 176213511936. Its totient is φ = 10351411200.

The previous prime is 43680555071. The next prime is 43680555103. The reversal of 43680555072 is 27055508634.

It is not an unprimeable number, because it can be changed into a prime (43680555071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 278220018 + ... + 278220174.

Almost surely, 2^43680555072 is an apocalyptic number.

43680555072 is a gapful number since it is divisible by the number (42) 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 43680555072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88106755968).

43680555072 is an abundant number, since it is smaller than the sum of its proper divisors (132532956864).

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

43680555072 is a wasteful number, since it uses less digits than its factorization.

43680555072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

It can be divided in two parts, 436 and 80555072, that added together give a palindrome (80555508).

The spelling of 43680555072 in words is "forty-three billion, six hundred eighty million, five hundred fifty-five thousand, seventy-two".