6073829680 has 80 divisors (see below), whose sum is σ = 14571031680. Its totient is φ = 2353388544.

The previous prime is 6073829677. The next prime is 6073829681. The reversal of 6073829680 is 869283706.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (6073829681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325894 + ... + 344026.

It is an arithmetic number, because the mean of its divisors is an integer number (182137896).

Almost surely, 2^6073829680 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 6073829680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7285515840).

6073829680 is an abundant number, since it is smaller than the sum of its proper divisors (8497202000).

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

6073829680 is a wasteful number, since it uses less digits than its factorization.

6073829680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18278 (or 18272 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The square root of 6073829680 is about 77934.7783726880. The cubic root of 6073829680 is about 1824.5434204040.

The spelling of 6073829680 in words is "six billion, seventy-three million, eight hundred twenty-nine thousand, six hundred eighty".