6398608320 has 672 divisors, whose sum is σ = 25295961600. Its totient is φ = 1473085440.

The previous prime is 6398608301. The next prime is 6398608331. The reversal of 6398608320 is 238068936.

6398608320 is a `hidden beast` number, since 6 + 3 + 9 + 8 + 608 + 32 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42943606 + ... + 42943754.

It is an arithmetic number, because the mean of its divisors is an integer number (37642800).

Almost surely, 2^6398608320 is an apocalyptic number.

6398608320 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 6398608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12647980800).

6398608320 is an abundant number, since it is smaller than the sum of its proper divisors (18897353280).

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

6398608320 is a wasteful number, since it uses less digits than its factorization.

6398608320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 6398608320 is about 79991.3015271036. The cubic root of 6398608320 is about 1856.5009485572.

The spelling of 6398608320 in words is "six billion, three hundred ninety-eight million, six hundred eight thousand, three hundred twenty".