4782671873280 has 864 divisors, whose sum is σ = 20012210749440. Its totient is φ = 1030896599040.

The previous prime is 4782671873261. The next prime is 4782671873347. The reversal of 4782671873280 is 823781762874.

It is a happy number.

4782671873280 is a `hidden beast` number, since 4 + 78 + 2 + 67 + 187 + 328 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131666961 + ... + 131703279.

It is an arithmetic number, because the mean of its divisors is an integer number (23162280960).

Almost surely, 2^{4782671873280} is an apocalyptic number.

4782671873280 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 4782671873280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10006105374720).

4782671873280 is an abundant number, since it is smaller than the sum of its proper divisors (15229538876160).

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

4782671873280 is a wasteful number, since it uses less digits than its factorization.

4782671873280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36447 (or 36430 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 4782671873280 in words is "four trillion, seven hundred eighty-two billion, six hundred seventy-one million, eight hundred seventy-three thousand, two hundred eighty".