6457771008 has 440 divisors, whose sum is σ = 21346656408. Its totient is φ = 1932263424.

The previous prime is 6457770997. The next prime is 6457771009. The reversal of 6457771008 is 8001777546.

6457771008 is a `hidden beast` number, since 6 + 4 + 577 + 71 + 0 + 0 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1327104 + 6456443904 = 1152^2 + 80352^2 .

It is not an unprimeable number, because it can be changed into a prime (6457771009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57148360 + ... + 57148472.

Almost surely, 2^6457771008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6457771008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10673328204).

6457771008 is an abundant number, since it is smaller than the sum of its proper divisors (14888885400).

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

6457771008 is a wasteful number, since it uses less digits than its factorization.

6457771008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 6457771008 is about 80360.2576402042. The cubic root of 6457771008 is about 1862.2052511846.

It can be divided in two parts, 645 and 7771008, that added together give a triangular number (7771653 = T₃₉₄₂).

The spelling of 6457771008 in words is "six billion, four hundred fifty-seven million, seven hundred seventy-one thousand, eight".