6195166560 has 288 divisors, whose sum is σ = 23142581280. Its totient is φ = 1496678400.

The previous prime is 6195166559. The next prime is 6195166567. The reversal of 6195166560 is 656615916.

6195166560 is a `hidden beast` number, since 6 + 19 + 516 + 65 + 60 = 666.

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

It is a super-2 number, since 2×6195166560² = 76760177412284467200, 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 not an unprimeable number, because it can be changed into a prime (6195166567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6668176 + ... + 6669104.

It is an arithmetic number, because the mean of its divisors is an integer number (80356185).

Almost surely, 2^6195166560 is an apocalyptic number.

6195166560 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 6195166560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11571290640).

6195166560 is an abundant number, since it is smaller than the sum of its proper divisors (16947414720).

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

6195166560 is a wasteful number, since it uses less digits than its factorization.

6195166560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 6195166560 is about 78709.3803812481. The cubic root of 6195166560 is about 1836.6130352085.

The spelling of 6195166560 in words is "six billion, one hundred ninety-five million, one hundred sixty-six thousand, five hundred sixty".