4627857960 has 288 divisors, whose sum is σ = 16678902240. Its totient is φ = 1111968000.

The previous prime is 4627857947. The next prime is 4627857967. The reversal of 4627857960 is 697587264.

4627857960 is a `hidden beast` number, since 4 + 6 + 2 + 7 + 8 + 579 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4627857897 and 4627857906.

It is not an unprimeable number, because it can be changed into a prime (4627857967) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5705955 + ... + 5706765.

It is an arithmetic number, because the mean of its divisors is an integer number (57912855).

Almost surely, 2^4627857960 is an apocalyptic number.

4627857960 is a gapful number since it is divisible by the number (40) 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 4627857960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8339451120).

4627857960 is an abundant number, since it is smaller than the sum of its proper divisors (12051044280).

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

4627857960 is a wasteful number, since it uses less digits than its factorization.

4627857960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 4627857960 is about 68028.3614384471. The cubic root of 4627857960 is about 1666.4540391860.

The spelling of 4627857960 in words is "four billion, six hundred twenty-seven million, eight hundred fifty-seven thousand, nine hundred sixty".