6050580480 has 576 divisors, whose sum is σ = 24469361280. Its totient is φ = 1354235904.

The previous prime is 6050580451. The next prime is 6050580509. The reversal of 6050580480 is 840850506.

It is a happy number.

6050580480 is a `hidden beast` number, since 605 + 0 + 5 + 8 + 0 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6050580451) and next prime (6050580509).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53544904 + ... + 53545016.

It is an arithmetic number, because the mean of its divisors is an integer number (42481530).

Almost surely, 2^6050580480 is an apocalyptic number.

6050580480 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 6050580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12234680640).

6050580480 is an abundant number, since it is smaller than the sum of its proper divisors (18418780800).

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

6050580480 is a wasteful number, since it uses less digits than its factorization.

6050580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 6050580480 is about 77785.4773077854. The cubic root of 6050580480 is about 1822.2124685401.

The spelling of 6050580480 in words is "six billion, fifty million, five hundred eighty thousand, four hundred eighty".