43648377920 has 224 divisors, whose sum is σ = 123417665280. Its totient is φ = 14386176000.

The previous prime is 43648377907. The next prime is 43648377923. The reversal of 43648377920 is 2977384634.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (43648377923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16303622 + ... + 16306298.

It is an arithmetic number, because the mean of its divisors is an integer number (550971720).

Almost surely, 2^43648377920 is an apocalyptic number.

43648377920 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 43648377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61708832640).

43648377920 is an abundant number, since it is smaller than the sum of its proper divisors (79769287360).

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

43648377920 is a wasteful number, since it uses less digits than its factorization.

43648377920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 53.

The spelling of 43648377920 in words is "forty-three billion, six hundred forty-eight million, three hundred seventy-seven thousand, nine hundred twenty".