4686958080 has 400 divisors, whose sum is σ = 19191316320. Its totient is φ = 1070972928.

The previous prime is 4686958079. The next prime is 4686958093. The reversal of 4686958080 is 808596864.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1449906 + ... + 1453134.

Almost surely, 2^4686958080 is an apocalyptic number.

4686958080 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 4686958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9595658160).

4686958080 is an abundant number, since it is smaller than the sum of its proper divisors (14504358240).

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

4686958080 is an equidigital number, since it uses as much as digits as its factorization.

4686958080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3271 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 4686958080 is about 68461.3619496428. The cubic root of 4686958080 is about 1673.5178786569.

The spelling of 4686958080 in words is "four billion, six hundred eighty-six million, nine hundred fifty-eight thousand, eighty".