6057771720 has 1024 divisors, whose sum is σ = 26475724800. Its totient is φ = 1068318720.

The previous prime is 6057771703. The next prime is 6057771737. The reversal of 6057771720 is 271777506.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6057771703) and next prime (6057771737).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 128888737 + ... + 128888783.

It is an arithmetic number, because the mean of its divisors is an integer number (25855200).

Almost surely, 2^6057771720 is an apocalyptic number.

6057771720 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 6057771720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13237862400).

6057771720 is an abundant number, since it is smaller than the sum of its proper divisors (20417953080).

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

6057771720 is a wasteful number, since it uses less digits than its factorization.

6057771720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 144060, while the sum is 42.

The square root of 6057771720 is about 77831.6884051734. The cubic root of 6057771720 is about 1822.9340951243.

It can be divided in two parts, 6057 and 771720, that added together give a palindrome (777777).

The spelling of 6057771720 in words is "six billion, fifty-seven million, seven hundred seventy-one thousand, seven hundred twenty".