6457577408 has 56 divisors (see below), whose sum is σ = 13406347584. Its totient is φ = 3082956800.

The previous prime is 6457577389. The next prime is 6457577431. The reversal of 6457577408 is 8047757546.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 6457577408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97148 + ... + 149508.

It is an arithmetic number, because the mean of its divisors is an integer number (239399064).

Almost surely, 2^6457577408 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 6457577408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6703173792).

6457577408 is an abundant number, since it is smaller than the sum of its proper divisors (6948770176).

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

6457577408 is a wasteful number, since it uses less digits than its factorization.

6457577408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52461 (or 52451 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 53.

The square root of 6457577408 is about 80359.0530556452. The cubic root of 6457577408 is about 1862.1866417429.

The spelling of 6457577408 in words is "six billion, four hundred fifty-seven million, five hundred seventy-seven thousand, four hundred eight".