6388222464 has 600 divisors, whose sum is σ = 22344812028. Its totient is φ = 1804861440.

The previous prime is 6388222439. The next prime is 6388222471. The reversal of 6388222464 is 4642228836.

6388222464 is a `hidden beast` number, since 6 + 388 + 22 + 246 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2057529600 + 4330692864 = 45360^2 + 65808^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 155810284 + ... + 155810324.

Almost surely, 2^6388222464 is an apocalyptic number.

6388222464 is a gapful number since it is divisible by the number (64) 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 6388222464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11172406014).

6388222464 is an abundant number, since it is smaller than the sum of its proper divisors (15956589564).

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

6388222464 is a wasteful number, since it uses less digits than its factorization.

6388222464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 76 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 6388222464 is about 79926.3565039718. The cubic root of 6388222464 is about 1855.4959491314.

The spelling of 6388222464 in words is "six billion, three hundred eighty-eight million, two hundred twenty-two thousand, four hundred sixty-four".