6377130000 has 250 divisors, whose sum is σ = 23067127094. Its totient is φ = 1700352000.

The previous prime is 6377129977. The next prime is 6377130017. The reversal of 6377130000 is 317736.

It can be written as a sum of positive squares in 5 ways, for example, as 4406835456 + 1970294544 = 66384^2 + 44388^2 .

It is a tau number, because it is divible by the number of its divisors (250).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 806064 + ... + 813936.

Almost surely, 2^6377130000 is an apocalyptic number.

6377130000 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 6377130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11533563547).

6377130000 is an abundant number, since it is smaller than the sum of its proper divisors (16689997094).

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

6377130000 is an equidigital number, since it uses as much as digits as its factorization.

6377130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7913 (or 7883 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 6377130000 is about 79856.9345767792. The cubic root of 6377130000 is about 1854.4213702761.

Adding to 6377130000 its reverse (317736), we get a palindrome (6377447736).

The spelling of 6377130000 in words is "six billion, three hundred seventy-seven million, one hundred thirty thousand".