6286613040 has 160 divisors (see below), whose sum is σ = 22400798400. Its totient is φ = 1618606080.

The previous prime is 6286613033. The next prime is 6286613071. The reversal of 6286613040 is 403166826.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6286612986 and 6286613004.

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, 12460 + ... + 112820.

It is an arithmetic number, because the mean of its divisors is an integer number (140004990).

Almost surely, 2^6286613040 is an apocalyptic number.

6286613040 is a gapful number since it is divisible by the number (60) 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 6286613040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11200399200).

6286613040 is an abundant number, since it is smaller than the sum of its proper divisors (16114185360).

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

6286613040 is a wasteful number, since it uses less digits than its factorization.

6286613040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100412 (or 100400 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6286613040 is about 79288.1645644544. The cubic root of 6286613040 is about 1845.6056442508.

Adding to 6286613040 its reverse (403166826), we get a palindrome (6689779866).

The spelling of 6286613040 in words is "six billion, two hundred eighty-six million, six hundred thirteen thousand, forty".