6001780050 has 240 divisors, whose sum is σ = 19153506240. Its totient is φ = 1364999040.

The previous prime is 6001779989. The next prime is 6001780067. The reversal of 6001780050 is 500871006.

6001780050 is a `hidden beast` number, since 600 + 1 + 7 + 8 + 0 + 0 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 6001779996 and 6001780023.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7625757 + ... + 7626543.

It is an arithmetic number, because the mean of its divisors is an integer number (79806276).

Almost surely, 2^6001780050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6001780050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9576753120).

6001780050 is an abundant number, since it is smaller than the sum of its proper divisors (13151726190).

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

6001780050 is a wasteful number, since it uses less digits than its factorization.

6001780050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 6001780050 is about 77471.1562454053. The cubic root of 6001780050 is about 1817.3002731484.

The spelling of 6001780050 in words is "six billion, one million, seven hundred eighty thousand, fifty".