6399338400 has 432 divisors, whose sum is σ = 27775972224. Its totient is φ = 1350051840.

The previous prime is 6399338399. The next prime is 6399338411. The reversal of 6399338400 is 48339936.

6399338400 is a `hidden beast` number, since 639 + 9 + 3 + 3 + 8 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 650317 + ... + 660083.

It is an arithmetic number, because the mean of its divisors is an integer number (64296232).

Almost surely, 2^6399338400 is an apocalyptic number.

6399338400 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 6399338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13887986112).

6399338400 is an abundant number, since it is smaller than the sum of its proper divisors (21376633824).

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

6399338400 is a wasteful number, since it uses less digits than its factorization.

6399338400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9813 (or 9797 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 6399338400 is about 79995.8648931306. The cubic root of 6399338400 is about 1856.5715546744.

The spelling of 6399338400 in words is "six billion, three hundred ninety-nine million, three hundred thirty-eight thousand, four hundred".