6283871616 has 256 divisors, whose sum is σ = 19319224320. Its totient is φ = 1791590400.

The previous prime is 6283871593. The next prime is 6283871617. The reversal of 6283871616 is 6161783826.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6283871617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4844280 + ... + 4845576.

It is an arithmetic number, because the mean of its divisors is an integer number (75465720).

Almost surely, 2^6283871616 is an apocalyptic number.

6283871616 is a gapful number since it is divisible by the number (66) 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 6283871616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9659612160).

6283871616 is an abundant number, since it is smaller than the sum of its proper divisors (13035352704).

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

6283871616 is a wasteful number, since it uses less digits than its factorization.

6283871616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1381 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 6283871616 is about 79270.8749541722. The cubic root of 6283871616 is about 1845.3373321404.

It can be divided in two parts, 628387 and 1616, that added together give a triangular number (630003 = T₁₁₂₂).

The spelling of 6283871616 in words is "six billion, two hundred eighty-three million, eight hundred seventy-one thousand, six hundred sixteen".