6457570560 has 288 divisors, whose sum is σ = 26190017280. Its totient is φ = 1475960832.

The previous prime is 6457570541. The next prime is 6457570573. The reversal of 6457570560 is 650757546.

6457570560 is a `hidden beast` number, since 6 + 4 + 575 + 70 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228574 + ... + 255266.

It is an arithmetic number, because the mean of its divisors is an integer number (90937560).

Almost surely, 2^6457570560 is an apocalyptic number.

6457570560 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 6457570560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13095008640).

6457570560 is an abundant number, since it is smaller than the sum of its proper divisors (19732446720).

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

6457570560 is a wasteful number, since it uses less digits than its factorization.

6457570560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26730 (or 26710 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The square root of 6457570560 is about 80359.0104468690. The cubic root of 6457570560 is about 1862.1859834847.

The spelling of 6457570560 in words is "six billion, four hundred fifty-seven million, five hundred seventy thousand, five hundred sixty".