6450585120 has 768 divisors, whose sum is σ = 27675648000. Its totient is φ = 1370566656.

The previous prime is 6450585107. The next prime is 6450585151. The reversal of 6450585120 is 215850546.

6450585120 is a `hidden beast` number, since 6 + 4 + 50 + 585 + 1 + 20 = 666.

It is a super-2 number, since 2×6450585120² = 83220096780730828800, which contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 59179626 + ... + 59179734.

It is an arithmetic number, because the mean of its divisors is an integer number (36036000).

Almost surely, 2^6450585120 is an apocalyptic number.

6450585120 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 6450585120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13837824000).

6450585120 is an abundant number, since it is smaller than the sum of its proper divisors (21225062880).

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

6450585120 is a wasteful number, since it uses less digits than its factorization.

6450585120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 6450585120 is about 80315.5347364381. The cubic root of 6450585120 is about 1861.5142715425.

The spelling of 6450585120 in words is "six billion, four hundred fifty million, five hundred eighty-five thousand, one hundred twenty".