4472109607680 has 3456 divisors, whose sum is σ = 20619409434624. Its totient is φ = 877186252800.

The previous prime is 4472109607661. The next prime is 4472109607687. The reversal of 4472109607680 is 867069012744.

4472109607680 is a `hidden beast` number, since 4 + 4 + 7 + 21 + 0 + 9 + 607 + 6 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (4472109607687) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 34138241215 + ... + 34138241345.

It is an arithmetic number, because the mean of its divisors is an integer number (5966264304).

Almost surely, 2^{4472109607680} is an apocalyptic number.

4472109607680 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 4472109607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10309704717312).

4472109607680 is an abundant number, since it is smaller than the sum of its proper divisors (16147299826944).

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

4472109607680 is a wasteful number, since it uses less digits than its factorization.

4472109607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 4472109607680 in words is "four trillion, four hundred seventy-two billion, one hundred nine million, six hundred seven thousand, six hundred eighty".