6123209280 has 224 divisors, whose sum is σ = 20403360768. Its totient is φ = 1553817600.

The previous prime is 6123209237. The next prime is 6123209317. The reversal of 6123209280 is 829023216.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1813674 + ... + 1817046.

It is an arithmetic number, because the mean of its divisors is an integer number (91086432).

Almost surely, 2^6123209280 is an apocalyptic number.

6123209280 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 6123209280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10201680384).

6123209280 is an abundant number, since it is smaller than the sum of its proper divisors (14280151488).

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

6123209280 is a wasteful number, since it uses less digits than its factorization.

6123209280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3485 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 6123209280 is about 78250.9378857532. The cubic root of 6123209280 is about 1829.4745303687.

The spelling of 6123209280 in words is "six billion, one hundred twenty-three million, two hundred nine thousand, two hundred eighty".