6285345480 has 192 divisors, whose sum is σ = 21283891200. Its totient is φ = 1606832640.

The previous prime is 6285345439. The next prime is 6285345481. The reversal of 6285345480 is 845435826.

6285345480 is a `hidden beast` number, since 62 + 8 + 534 + 54 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6285345481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1213857 + ... + 1219023.

It is an arithmetic number, because the mean of its divisors is an integer number (110853600).

Almost surely, 2^6285345480 is an apocalyptic number.

6285345480 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 6285345480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10641945600).

6285345480 is an abundant number, since it is smaller than the sum of its proper divisors (14998545720).

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

6285345480 is a wasteful number, since it uses less digits than its factorization.

6285345480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5324 (or 5317 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 6285345480 is about 79280.1707868998. The cubic root of 6285345480 is about 1845.4815937155.

The spelling of 6285345480 in words is "six billion, two hundred eighty-five million, three hundred forty-five thousand, four hundred eighty".