6371434080 has 720 divisors, whose sum is σ = 26279225280. Its totient is φ = 1447649280.

The previous prime is 6371434051. The next prime is 6371434093. The reversal of 6371434080 is 804341736.

6371434080 is a `hidden beast` number, since 637 + 14 + 3 + 4 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26658601 + ... + 26658839.

It is an arithmetic number, because the mean of its divisors is an integer number (36498924).

Almost surely, 2^6371434080 is an apocalyptic number.

6371434080 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 6371434080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13139612640).

6371434080 is an abundant number, since it is smaller than the sum of its proper divisors (19907791200).

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

6371434080 is a wasteful number, since it uses less digits than its factorization.

6371434080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6371434080 is about 79821.2633325231. The cubic root of 6371434080 is about 1853.8690956056.

The spelling of 6371434080 in words is "six billion, three hundred seventy-one million, four hundred thirty-four thousand, eighty".