4671643560 has 128 divisors (see below), whose sum is σ = 14161150080. Its totient is φ = 1232851968.

The previous prime is 4671643547. The next prime is 4671643573. The reversal of 4671643560 is 653461764.

It is an interprime number because it is at equal distance from previous prime (4671643547) and next prime (4671643573).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6372954 + ... + 6373686.

It is an arithmetic number, because the mean of its divisors is an integer number (110633985).

Almost surely, 2^4671643560 is an apocalyptic number.

4671643560 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 4671643560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7080575040).

4671643560 is an abundant number, since it is smaller than the sum of its proper divisors (9489506520).

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

4671643560 is a wasteful number, since it uses less digits than its factorization.

4671643560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 4671643560 is about 68349.4225286505. The cubic root of 4671643560 is about 1671.6931636681.

The spelling of 4671643560 in words is "four billion, six hundred seventy-one million, six hundred forty-three thousand, five hundred sixty".