4677281280 has 480 divisors, whose sum is σ = 19340592480. Its totient is φ = 1068318720.

The previous prime is 4677281237. The next prime is 4677281299. The reversal of 4677281280 is 821827764.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3386190 + ... + 3387570.

It is an arithmetic number, because the mean of its divisors is an integer number (40292901).

Almost surely, 2^4677281280 is an apocalyptic number.

4677281280 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 4677281280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9670296240).

4677281280 is an abundant number, since it is smaller than the sum of its proper divisors (14663311200).

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

4677281280 is a wasteful number, since it uses less digits than its factorization.

4677281280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 4677281280 is about 68390.6519927980. The cubic root of 4677281280 is about 1672.3653574572.

The spelling of 4677281280 in words is "four billion, six hundred seventy-seven million, two hundred eighty-one thousand, two hundred eighty".