6286662720 has 448 divisors, whose sum is σ = 24213799680. Its totient is φ = 1545246720.

The previous prime is 6286662719. The next prime is 6286662721. The reversal of 6286662720 is 272666826.

It is an interprime number because it is at equal distance from previous prime (6286662719) and next prime (6286662721).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6286662721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9097575 + ... + 9098265.

It is an arithmetic number, because the mean of its divisors is an integer number (54048660).

Almost surely, 2^6286662720 is an apocalyptic number.

6286662720 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 6286662720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12106899840).

6286662720 is an abundant number, since it is smaller than the sum of its proper divisors (17927136960).

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

6286662720 is an equidigital number, since it uses as much as digits as its factorization.

6286662720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 6286662720 is about 79288.4778514508. The cubic root of 6286662720 is about 1845.6105058748.

The spelling of 6286662720 in words is "six billion, two hundred eighty-six million, six hundred sixty-two thousand, seven hundred twenty".