6429000720 has 320 divisors, whose sum is σ = 21598617600. Its totient is φ = 1578178560.

The previous prime is 6429000713. The next prime is 6429000761. The reversal of 6429000720 is 270009246.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17907901 + ... + 17908259.

It is an arithmetic number, because the mean of its divisors is an integer number (67495680).

Almost surely, 2^6429000720 is an apocalyptic number.

6429000720 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 6429000720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10799308800).

6429000720 is an abundant number, since it is smaller than the sum of its proper divisors (15169616880).

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

6429000720 is a wasteful number, since it uses less digits than its factorization.

6429000720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 6429000720 is about 80181.0496314435. The cubic root of 6429000720 is about 1859.4356710923.

Adding to 6429000720 its reverse (270009246), we get a palindrome (6699009966).

The spelling of 6429000720 in words is "six billion, four hundred twenty-nine million, seven hundred twenty", and thus it is an aban number.