6334344720 has 480 divisors, whose sum is σ = 24728595840. Its totient is φ = 1477969920.

The previous prime is 6334344713. The next prime is 6334344761. The reversal of 6334344720 is 274434336.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19982002 + ... + 19982318.

It is an arithmetic number, because the mean of its divisors is an integer number (51517908).

Almost surely, 2^6334344720 is an apocalyptic number.

6334344720 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 6334344720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12364297920).

6334344720 is an abundant number, since it is smaller than the sum of its proper divisors (18394251120).

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

6334344720 is a wasteful number, since it uses less digits than its factorization.

6334344720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The square root of 6334344720 is about 79588.5966706286. The cubic root of 6334344720 is about 1850.2648483739.

The spelling of 6334344720 in words is "six billion, three hundred thirty-four million, three hundred forty-four thousand, seven hundred twenty".