6429680 has 40 divisors (see below), whose sum is σ = 15066000. Its totient is φ = 2551808.

The previous prime is 6429671. The next prime is 6429691. The reversal of 6429680 is 869246.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 6429680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14096 + ... + 14544.

It is an arithmetic number, because the mean of its divisors is an integer number (376650).

Almost surely, 2^6429680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6429680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7533000).

6429680 is an abundant number, since it is smaller than the sum of its proper divisors (8636320).

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

6429680 is a wasteful number, since it uses less digits than its factorization.

6429680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 6429680 is about 2535.6813679956. The cubic root of 6429680 is about 185.9501157318.

The spelling of 6429680 in words is "six million, four hundred twenty-nine thousand, six hundred eighty".