6381079200 has 432 divisors, whose sum is σ = 24486167160. Its totient is φ = 1557135360.

The previous prime is 6381079193. The next prime is 6381079231. The reversal of 6381079200 is 29701836.

6381079200 is a `hidden beast` number, since 6 + 381 + 0 + 79 + 200 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 521482896 + 5859596304 = 22836^2 + 76548^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4528096 + ... + 4529504.

Almost surely, 2^6381079200 is an apocalyptic number.

6381079200 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 6381079200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12243083580).

6381079200 is an abundant number, since it is smaller than the sum of its proper divisors (18105087960).

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

6381079200 is a wasteful number, since it uses less digits than its factorization.

6381079200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 6381079200 is about 79881.6574690335. The cubic root of 6381079200 is about 1854.8040904885.

The spelling of 6381079200 in words is "six billion, three hundred eighty-one million, seventy-nine thousand, two hundred".