43671648960 has 784 divisors, whose sum is σ = 167905785600. Its totient is φ = 10780895232.

The previous prime is 43671648887. The next prime is 43671648971. The reversal of 43671648960 is 6984617634.

43671648960 is a `hidden beast` number, since 4 + 36 + 71 + 6 + 489 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 43671648897 and 43671648906.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 261506797 + ... + 261506963.

Almost surely, 2^43671648960 is an apocalyptic number.

43671648960 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 43671648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83952892800).

43671648960 is an abundant number, since it is smaller than the sum of its proper divisors (124234136640).

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

43671648960 is a wasteful number, since it uses less digits than its factorization.

43671648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 43671648960 in words is "forty-three billion, six hundred seventy-one million, six hundred forty-eight thousand, nine hundred sixty".