6398361600 has 360 divisors, whose sum is σ = 21843268608. Its totient is φ = 1651507200.

The previous prime is 6398361583. The next prime is 6398361637. The reversal of 6398361600 is 61638936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50380737 + ... + 50380863.

Almost surely, 2^6398361600 is an apocalyptic number.

6398361600 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 6398361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10921634304).

6398361600 is an abundant number, since it is smaller than the sum of its proper divisors (15444907008).

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

6398361600 is a wasteful number, since it uses less digits than its factorization.

6398361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 6398361600 is about 79989.7593445561. The cubic root of 6398361600 is about 1856.4770870247.

The spelling of 6398361600 in words is "six billion, three hundred ninety-eight million, three hundred sixty-one thousand, six hundred".