6380134279200 has 2304 divisors, whose sum is σ = 27385607208960. Its totient is φ = 1418342400000.

The previous prime is 6380134279187. The next prime is 6380134279217. The reversal of 6380134279200 is 29724310836.

6380134279200 is a `hidden beast` number, since 6 + 3 + 8 + 0 + 13 + 427 + 9 + 200 = 666.

It is a super-2 number, since 2×6380134279200² (a number of 26 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 11173614915 + ... + 11173615485.

It is an arithmetic number, because the mean of its divisors is an integer number (11886114240).

Almost surely, 2^{6380134279200} is an apocalyptic number.

6380134279200 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 6380134279200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13692803604480).

6380134279200 is an abundant number, since it is smaller than the sum of its proper divisors (21005472929760).

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

6380134279200 is a wasteful number, since it uses less digits than its factorization.

6380134279200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 701 counting only the distinct ones).

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

The spelling of 6380134279200 in words is "six trillion, three hundred eighty billion, one hundred thirty-four million, two hundred seventy-nine thousand, two hundred".