6215398560 has 1152 divisors, whose sum is σ = 28531077120. Its totient is φ = 1197047808.

The previous prime is 6215398531. The next prime is 6215398561. The reversal of 6215398560 is 658935126.

6215398560 is a `hidden beast` number, since 62 + 1 + 539 + 8 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6215398561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 74884279 + ... + 74884361.

It is an arithmetic number, because the mean of its divisors is an integer number (24766560).

Almost surely, 2^6215398560 is an apocalyptic number.

6215398560 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 6215398560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14265538560).

6215398560 is an abundant number, since it is smaller than the sum of its proper divisors (22315678560).

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

6215398560 is a wasteful number, since it uses less digits than its factorization.

6215398560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 6215398560 is about 78837.7990560366. The cubic root of 6215398560 is about 1838.6101823695.

The spelling of 6215398560 in words is "six billion, two hundred fifteen million, three hundred ninety-eight thousand, five hundred sixty".