6377113600 has 432 divisors, whose sum is σ = 18956442960. Its totient is φ = 2108620800.

The previous prime is 6377113597. The next prime is 6377113663. The reversal of 6377113600 is 63117736.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95180767 + ... + 95180833.

It is an arithmetic number, because the mean of its divisors is an integer number (43880655).

Almost surely, 2^6377113600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6377113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9478221480).

6377113600 is an abundant number, since it is smaller than the sum of its proper divisors (12579329360).

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

6377113600 is a wasteful number, since it uses less digits than its factorization.

6377113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 34.

The square root of 6377113600 is about 79856.8318930823. The cubic root of 6377113600 is about 1854.4197806092.

The spelling of 6377113600 in words is "six billion, three hundred seventy-seven million, one hundred thirteen thousand, six hundred".