6477908580 has 504 divisors, whose sum is σ = 24194298240. Its totient is φ = 1443536640.

The previous prime is 6477908561. The next prime is 6477908587. The reversal of 6477908580 is 858097746.

6477908580 is a `hidden beast` number, since 6 + 477 + 90 + 8 + 5 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6477908587) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 27104101 + ... + 27104339.

It is an arithmetic number, because the mean of its divisors is an integer number (48004560).

Almost surely, 2^6477908580 is an apocalyptic number.

6477908580 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 6477908580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12097149120).

6477908580 is an abundant number, since it is smaller than the sum of its proper divisors (17716389660).

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

6477908580 is a wasteful number, since it uses less digits than its factorization.

6477908580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 6477908580 is about 80485.4557047421. The cubic root of 6477908580 is about 1864.1389101320.

The spelling of 6477908580 in words is "six billion, four hundred seventy-seven million, nine hundred eight thousand, five hundred eighty".