6327968400 has 360 divisors, whose sum is σ = 24395715360. Its totient is φ = 1557204480.

The previous prime is 6327968377. The next prime is 6327968447. The reversal of 6327968400 is 48697236.

6327968400 is a `hidden beast` number, since 632 + 7 + 9 + 6 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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, 1823467 + ... + 1826933.

It is an arithmetic number, because the mean of its divisors is an integer number (67765876).

Almost surely, 2^6327968400 is an apocalyptic number.

6327968400 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 6327968400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12197857680).

6327968400 is an abundant number, since it is smaller than the sum of its proper divisors (18067746960).

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

6327968400 is a wasteful number, since it uses less digits than its factorization.

6327968400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3520 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 6327968400 is about 79548.5285847576. The cubic root of 6327968400 is about 1849.6437979900.

The spelling of 6327968400 in words is "six billion, three hundred twenty-seven million, nine hundred sixty-eight thousand, four hundred".