4871682816 has 288 divisors, whose sum is σ = 17411347968. Its totient is φ = 1167851520.

The previous prime is 4871682799. The next prime is 4871682847. The reversal of 4871682816 is 6182861784.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 765600 + ... + 771936.

Almost surely, 2^4871682816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4871682816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8705673984).

4871682816 is an abundant number, since it is smaller than the sum of its proper divisors (12539665152).

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

4871682816 is a wasteful number, since it uses less digits than its factorization.

4871682816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6387 (or 6373 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 51.

The square root of 4871682816 is about 69797.4413284613. The cubic root of 4871682816 is about 1695.2210437355.

It can be divided in two parts, 487168 and 2816, that added together give a palindrome (489984).

The spelling of 4871682816 in words is "four billion, eight hundred seventy-one million, six hundred eighty-two thousand, eight hundred sixteen".