6429558720 has 224 divisors, whose sum is σ = 22694676480. Its totient is φ = 1531514880.

The previous prime is 6429558679. The next prime is 6429558757. The reversal of 6429558720 is 278559246.

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 6429558720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378571 + ... + 395189.

It is an arithmetic number, because the mean of its divisors is an integer number (101315520).

Almost surely, 2^6429558720 is an apocalyptic number.

6429558720 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 6429558720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11347338240).

6429558720 is an abundant number, since it is smaller than the sum of its proper divisors (16265117760).

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

6429558720 is a wasteful number, since it uses less digits than its factorization.

6429558720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16683 (or 16673 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The square root of 6429558720 is about 80184.5291811332. The cubic root of 6429558720 is about 1859.4894656157.

The spelling of 6429558720 in words is "six billion, four hundred twenty-nine million, five hundred fifty-eight thousand, seven hundred twenty".