6182872560 has 480 divisors, whose sum is σ = 22540557312. Its totient is φ = 1573862400.

The previous prime is 6182872559. The next prime is 6182872571. The reversal of 6182872560 is 652782816.

6182872560 is a `hidden beast` number, since 6 + 1 + 8 + 2 + 87 + 2 + 560 = 666.

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 95 ways as a sum of consecutive naturals, for example, 61216510 + ... + 61216610.

Almost surely, 2^6182872560 is an apocalyptic number.

6182872560 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 6182872560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11270278656).

6182872560 is an abundant number, since it is smaller than the sum of its proper divisors (16357684752).

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

6182872560 is a wasteful number, since it uses less digits than its factorization.

6182872560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 6182872560 is about 78631.2441717667. The cubic root of 6182872560 is about 1835.3973416098.

The spelling of 6182872560 in words is "six billion, one hundred eighty-two million, eight hundred seventy-two thousand, five hundred sixty".