6107057220 has 288 divisors, whose sum is σ = 20582916480. Its totient is φ = 1335541760.

The previous prime is 6107057153. The next prime is 6107057227. The reversal of 6107057220 is 227507016.

It is a super-2 number, since 2×6107057220² = 74592295776708256800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (6107057227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44576992 + ... + 44577128.

It is an arithmetic number, because the mean of its divisors is an integer number (71468460).

Almost surely, 2^6107057220 is an apocalyptic number.

6107057220 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 6107057220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10291458240).

6107057220 is an abundant number, since it is smaller than the sum of its proper divisors (14475859260).

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

6107057220 is a wasteful number, since it uses less digits than its factorization.

6107057220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 6107057220 is about 78147.6629209089. The cubic root of 6107057220 is about 1827.8644921394.

The spelling of 6107057220 in words is "six billion, one hundred seven million, fifty-seven thousand, two hundred twenty".