4027727616 has 288 divisors, whose sum is σ = 12856596480. Its totient is φ = 1104998400.

The previous prime is 4027727603. The next prime is 4027727617. The reversal of 4027727616 is 6167277204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4027727617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3691231 + ... + 3692321.

It is an arithmetic number, because the mean of its divisors is an integer number (44640960).

Almost surely, 2^4027727616 is an apocalyptic number.

4027727616 is a gapful number since it is divisible by the number (46) 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 4027727616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428298240).

4027727616 is an abundant number, since it is smaller than the sum of its proper divisors (8828868864).

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

4027727616 is a wasteful number, since it uses less digits than its factorization.

4027727616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The square root of 4027727616 is about 63464.3806871224. The cubic root of 4027727616 is about 1591.0605131712.

The spelling of 4027727616 in words is "four billion, twenty-seven million, seven hundred twenty-seven thousand, six hundred sixteen".