6385218720 has 96 divisors (see below), whose sum is σ = 20129643072. Its totient is φ = 1701353472.

The previous prime is 6385218703. The next prime is 6385218739. The reversal of 6385218720 is 278125836.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 683199 + ... + 692481.

It is an arithmetic number, because the mean of its divisors is an integer number (209683782).

Almost surely, 2^6385218720 is an apocalyptic number.

6385218720 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 6385218720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10064821536).

6385218720 is an abundant number, since it is smaller than the sum of its proper divisors (13744424352).

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

6385218720 is a wasteful number, since it uses less digits than its factorization.

6385218720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10734 (or 10726 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 6385218720 is about 79907.5635969462. The cubic root of 6385218720 is about 1855.2050852994.

The spelling of 6385218720 in words is "six billion, three hundred eighty-five million, two hundred eighteen thousand, seven hundred twenty".