6379317120 has 256 divisors, whose sum is σ = 22296384000. Its totient is φ = 1538580480.

The previous prime is 6379317107. The next prime is 6379317143. The reversal of 6379317120 is 217139736.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4835821 + ... + 4837139.

It is an arithmetic number, because the mean of its divisors is an integer number (87095250).

Almost surely, 2^6379317120 is an apocalyptic number.

6379317120 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 6379317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11148192000).

6379317120 is an abundant number, since it is smaller than the sum of its proper divisors (15917066880).

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

6379317120 is a wasteful number, since it uses less digits than its factorization.

6379317120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 6379317120 is about 79870.6273920520. The cubic root of 6379317120 is about 1854.6333453855.

The spelling of 6379317120 in words is "six billion, three hundred seventy-nine million, three hundred seventeen thousand, one hundred twenty".