6311349120 has 128 divisors (see below), whose sum is σ = 20180234880. Its totient is φ = 1677772800.

The previous prime is 6311349119. The next prime is 6311349137. The reversal of 6311349120 is 219431136.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 630555 + ... + 640485.

It is an arithmetic number, because the mean of its divisors is an integer number (157658085).

Almost surely, 2^6311349120 is an apocalyptic number.

6311349120 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 6311349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10090117440).

6311349120 is an abundant number, since it is smaller than the sum of its proper divisors (13868885760).

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

6311349120 is a wasteful number, since it uses less digits than its factorization.

6311349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10284 (or 10272 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 6311349120 is about 79443.9998993001. Note that the first 3 decimals coincide. The cubic root of 6311349120 is about 1848.0231252143.

The spelling of 6311349120 in words is "six billion, three hundred eleven million, three hundred forty-nine thousand, one hundred twenty".