4476487680 has 576 divisors, whose sum is σ = 18459342720. Its totient is φ = 1019215872.

The previous prime is 4476487667. The next prime is 4476487709. The reversal of 4476487680 is 867846744.

4476487680 is a `hidden beast` number, since 447 + 64 + 87 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17418112 + ... + 17418368.

It is an arithmetic number, because the mean of its divisors is an integer number (32047470).

Almost surely, 2^4476487680 is an apocalyptic number.

4476487680 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 4476487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9229671360).

4476487680 is an abundant number, since it is smaller than the sum of its proper divisors (13982855040).

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

4476487680 is an equidigital number, since it uses as much as digits as its factorization.

4476487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The square root of 4476487680 is about 66906.5593196960. The cubic root of 4476487680 is about 1648.0831955989.

The spelling of 4476487680 in words is "four billion, four hundred seventy-six million, four hundred eighty-seven thousand, six hundred eighty".