6305881536 has 224 divisors, whose sum is σ = 19839919680. Its totient is φ = 1957036032.

The previous prime is 6305881531. The next prime is 6305881559. The reversal of 6305881536 is 6351885036.

6305881536 is a `hidden beast` number, since 6 + 30 + 5 + 8 + 81 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6305881491 and 6305881500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6305881531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2848366 + ... + 2850578.

It is an arithmetic number, because the mean of its divisors is an integer number (88571070).

Almost surely, 2^6305881536 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 6305881536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9919959840).

6305881536 is an abundant number, since it is smaller than the sum of its proper divisors (13534038144).

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

6305881536 is a wasteful number, since it uses less digits than its factorization.

6305881536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 6305881536 is about 79409.5808829136. The cubic root of 6305881536 is about 1847.4893174826.

The spelling of 6305881536 in words is "six billion, three hundred five million, eight hundred eighty-one thousand, five hundred thirty-six".