6477585120 has 384 divisors, whose sum is σ = 23578490880. Its totient is φ = 1659709440.

The previous prime is 6477585119. The next prime is 6477585133. The reversal of 6477585120 is 215857746.

6477585120 is a `hidden beast` number, since 6 + 47 + 7 + 585 + 1 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12385179 + ... + 12385701.

It is an arithmetic number, because the mean of its divisors is an integer number (61402320).

Almost surely, 2^6477585120 is an apocalyptic number.

6477585120 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 6477585120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11789245440).

6477585120 is an abundant number, since it is smaller than the sum of its proper divisors (17100905760).

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

6477585120 is a wasteful number, since it uses less digits than its factorization.

6477585120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 6477585120 is about 80483.4462482814. The cubic root of 6477585120 is about 1864.1078824013.

The spelling of 6477585120 in words is "six billion, four hundred seventy-seven million, five hundred eighty-five thousand, one hundred twenty".