6181686720 has 672 divisors, whose sum is σ = 24598701120. Its totient is φ = 1478062080.

The previous prime is 6181686683. The next prime is 6181686739. The reversal of 6181686720 is 276861816.

It is a happy number.

6181686720 is a `hidden beast` number, since 618 + 1 + 6 + 8 + 6 + 7 + 20 = 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, 84680604 + ... + 84680676.

It is an arithmetic number, because the mean of its divisors is an integer number (36605210).

Almost surely, 2^6181686720 is an apocalyptic number.

6181686720 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 6181686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12299350560).

6181686720 is an abundant number, since it is smaller than the sum of its proper divisors (18417014400).

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

6181686720 is an equidigital number, since it uses as much as digits as its factorization.

6181686720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 6181686720 is about 78623.7032961435. The cubic root of 6181686720 is about 1835.2799944963.

The spelling of 6181686720 in words is "six billion, one hundred eighty-one million, six hundred eighty-six thousand, seven hundred twenty".