4687167760 has 160 divisors (see below), whose sum is σ = 12919173120. Its totient is φ = 1562457600.

The previous prime is 4687167713. The next prime is 4687167773. The reversal of 4687167760 is 677617864.

It is a super-2 number, since 2×4687167760² = 43939083220766835200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4687167698 and 4687167707.

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, 513799 + ... + 522841.

It is an arithmetic number, because the mean of its divisors is an integer number (80744832).

Almost surely, 2^4687167760 is an apocalyptic number.

4687167760 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 4687167760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6459586560).

4687167760 is an abundant number, since it is smaller than the sum of its proper divisors (8232005360).

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

4687167760 is a wasteful number, since it uses less digits than its factorization.

4687167760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9117 (or 9111 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 52.

The square root of 4687167760 is about 68462.8933072508. The cubic root of 4687167760 is about 1673.5428342884.

The spelling of 4687167760 in words is "four billion, six hundred eighty-seven million, one hundred sixty-seven thousand, seven hundred sixty".