6434071738320 has 320 divisors, whose sum is σ = 20266060032000. Its totient is φ = 1688396464128.

The previous prime is 6434071738273. The next prime is 6434071738321. The reversal of 6434071738320 is 238371704346.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6434071738320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6434071738321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5698911516 + ... + 5698912644.

It is an arithmetic number, because the mean of its divisors is an integer number (63331437600).

Almost surely, 2^{6434071738320} is an apocalyptic number.

6434071738320 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 6434071738320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10133030016000).

6434071738320 is an abundant number, since it is smaller than the sum of its proper divisors (13831988293680).

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

6434071738320 is a wasteful number, since it uses less digits than its factorization.

6434071738320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 6434071738320 in words is "six trillion, four hundred thirty-four billion, seventy-one million, seven hundred thirty-eight thousand, three hundred twenty".