4871877270480 has 480 divisors, whose sum is σ = 17959395168000. Its totient is φ = 1173764874240.

The previous prime is 4871877270451. The next prime is 4871877270527. The reversal of 4871877270480 is 840727781784.

4871877270480 is a `hidden beast` number, since 4 + 8 + 7 + 1 + 87 + 7 + 2 + 70 + 480 = 666.

It is a super-3 number, since 3×4871877270480³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 935278116 + ... + 935283324.

It is an arithmetic number, because the mean of its divisors is an integer number (37415406600).

Almost surely, 2^{4871877270480} is an apocalyptic number.

4871877270480 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 4871877270480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8979697584000).

4871877270480 is an abundant number, since it is smaller than the sum of its proper divisors (13087517897520).

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

4871877270480 is a wasteful number, since it uses less digits than its factorization.

4871877270480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5947 (or 5938 counting only the distinct ones).

The product of its (nonzero) digits is 39337984, while the sum is 63.

The spelling of 4871877270480 in words is "four trillion, eight hundred seventy-one billion, eight hundred seventy-seven million, two hundred seventy thousand, four hundred eighty".