8477643409920 has 720 divisors, whose sum is σ = 30574117997280. Its totient is φ = 2254340284416.

The previous prime is 8477643409919. The next prime is 8477643409927. The reversal of 8477643409920 is 299043467748.

8477643409920 is a `hidden beast` number, since 8 + 47 + 76 + 434 + 0 + 9 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (8477643409927) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11471776911 + ... + 11471777649.

It is an arithmetic number, because the mean of its divisors is an integer number (42464052774).

Almost surely, 2^{8477643409920} is an apocalyptic number.

8477643409920 is a gapful number since it is divisible by the number (80) 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 8477643409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15287058998640).

8477643409920 is an abundant number, since it is smaller than the sum of its proper divisors (22096474587360).

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

8477643409920 is an frugal number, since it uses more digits than its factorization.

8477643409920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 8477643409920 in words is "eight trillion, four hundred seventy-seven billion, six hundred forty-three million, four hundred nine thousand, nine hundred twenty".