6356158560 has 768 divisors, whose sum is σ = 25395793920. Its totient is φ = 1476034560.

The previous prime is 6356158541. The next prime is 6356158603. The reversal of 6356158560 is 658516536.

6356158560 is a `hidden beast` number, since 6 + 3 + 5 + 6 + 1 + 585 + 60 = 666.

It is a super-2 number, since 2×6356158560² = 80801503279722547200, which contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 89523325 + ... + 89523395.

It is an arithmetic number, because the mean of its divisors is an integer number (33067440).

Almost surely, 2^6356158560 is an apocalyptic number.

6356158560 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 6356158560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12697896960).

6356158560 is an abundant number, since it is smaller than the sum of its proper divisors (19039635360).

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

6356158560 is a wasteful number, since it uses less digits than its factorization.

6356158560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 6356158560 is about 79725.5201300061. The cubic root of 6356158560 is about 1852.3863589749.

The spelling of 6356158560 in words is "six billion, three hundred fifty-six million, one hundred fifty-eight thousand, five hundred sixty".