6457085856 has 384 divisors, whose sum is σ = 21676032000. Its totient is φ = 1853549568.

The previous prime is 6457085851. The next prime is 6457085867. The reversal of 6457085856 is 6585807546.

6457085856 is a `hidden beast` number, since 6 + 4 + 57 + 0 + 8 + 585 + 6 = 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 (6457085851) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16859041 + ... + 16859423.

It is an arithmetic number, because the mean of its divisors is an integer number (56448000).

Almost surely, 2^6457085856 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 6457085856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10838016000).

6457085856 is an abundant number, since it is smaller than the sum of its proper divisors (15218946144).

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

6457085856 is a wasteful number, since it uses less digits than its factorization.

6457085856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The square root of 6457085856 is about 80355.9945243664. The cubic root of 6457085856 is about 1862.1393905455.

It can be divided in two parts, 64570 and 85856, that added together give a triangular number (150426 = T₅₄₈).

The spelling of 6457085856 in words is "six billion, four hundred fifty-seven million, eighty-five thousand, eight hundred fifty-six".