6378117120 has 768 divisors, whose sum is σ = 25474176000. Its totient is φ = 1505230848.

The previous prime is 6378117079. The next prime is 6378117131. The reversal of 6378117120 is 217118736.

6378117120 is a `hidden beast` number, since 637 + 8 + 1 + 1 + 7 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108103651 + ... + 108103709.

It is an arithmetic number, because the mean of its divisors is an integer number (33169500).

Almost surely, 2^6378117120 is an apocalyptic number.

6378117120 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 6378117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12737088000).

6378117120 is an abundant number, since it is smaller than the sum of its proper divisors (19096058880).

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

6378117120 is a wasteful number, since it uses less digits than its factorization.

6378117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 6378117120 is about 79863.1148904173. The cubic root of 6378117120 is about 1854.5170476932.

The spelling of 6378117120 in words is "six billion, three hundred seventy-eight million, one hundred seventeen thousand, one hundred twenty".