6386220480 has 224 divisors, whose sum is σ = 21269090304. Its totient is φ = 1620393984.

The previous prime is 6386220439. The next prime is 6386220509. The reversal of 6386220480 is 840226836.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4923192 + ... + 4924488.

It is an arithmetic number, because the mean of its divisors is an integer number (94951296).

Almost surely, 2^6386220480 is an apocalyptic number.

6386220480 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 6386220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10634545152).

6386220480 is an abundant number, since it is smaller than the sum of its proper divisors (14882869824).

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

6386220480 is a wasteful number, since it uses less digits than its factorization.

6386220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 6386220480 is about 79913.8315937861. The cubic root of 6386220480 is about 1855.3020996251.

The spelling of 6386220480 in words is "six billion, three hundred eighty-six million, two hundred twenty thousand, four hundred eighty".