6348998400 has 216 divisors, whose sum is σ = 21630948864. Its totient is φ = 1638297600.

The previous prime is 6348998399. The next prime is 6348998417. The reversal of 6348998400 is 48998436.

It is a happy number.

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, 589867 + ... + 600533.

Almost surely, 2^6348998400 is an apocalyptic number.

6348998400 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 6348998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10815474432).

6348998400 is an abundant number, since it is smaller than the sum of its proper divisors (15281950464).

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

6348998400 is a wasteful number, since it uses less digits than its factorization.

6348998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10727 (or 10708 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 6348998400 is about 79680.6024073614. The cubic root of 6348998400 is about 1851.6905316619.

The spelling of 6348998400 in words is "six billion, three hundred forty-eight million, nine hundred ninety-eight thousand, four hundred".