6381979200 has 336 divisors, whose sum is σ = 23519952960. Its totient is φ = 1683210240.

The previous prime is 6381979199. The next prime is 6381979249. The reversal of 6381979200 is 29791836.

6381979200 is a `hidden beast` number, since 638 + 1 + 9 + 7 + 9 + 2 + 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 47 ways as a sum of consecutive naturals, for example, 4189639 + ... + 4191161.

It is an arithmetic number, because the mean of its divisors is an integer number (69999860).

Almost surely, 2^6381979200 is an apocalyptic number.

6381979200 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 6381979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11759976480).

6381979200 is an abundant number, since it is smaller than the sum of its proper divisors (17137973760).

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

6381979200 is a wasteful number, since it uses less digits than its factorization.

6381979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 6381979200 is about 79887.2906036999. The cubic root of 6381979200 is about 1854.8912881319.

The spelling of 6381979200 in words is "six billion, three hundred eighty-one million, nine hundred seventy-nine thousand, two hundred".