6381115200 has 420 divisors, whose sum is σ = 23923652940. Its totient is φ = 1667727360.

The previous prime is 6381115199. The next prime is 6381115229. The reversal of 6381115200 is 25111836.

6381115200 is a `hidden beast` number, since 63 + 81 + 1 + 1 + 520 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 752514624 + 5628600576 = 27432^2 + 75024^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6868336 + ... + 6869264.

Almost surely, 2^6381115200 is an apocalyptic number.

6381115200 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 6381115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11961826470).

6381115200 is an abundant number, since it is smaller than the sum of its proper divisors (17542537740).

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

6381115200 is a wasteful number, since it uses less digits than its factorization.

6381115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 6381115200 is about 79881.8828020472. The cubic root of 6381115200 is about 1854.8075785517.

The spelling of 6381115200 in words is "six billion, three hundred eighty-one million, one hundred fifteen thousand, two hundred".