4180680000 has 840 divisors, whose sum is σ = 18091708800. Its totient is φ = 943488000.

The previous prime is 4180679989. The next prime is 4180680013. The reversal of 4180680000 is 860814.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 52919961 + ... + 52920039.

Almost surely, 2^4180680000 is an apocalyptic number.

4180680000 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 4180680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9045854400).

4180680000 is an abundant number, since it is smaller than the sum of its proper divisors (13911028800).

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

4180680000 is an equidigital number, since it uses as much as digits as its factorization.

4180680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 4180680000 is about 64658.1781370307. The cubic root of 4180680000 is about 1610.9509190267.

The spelling of 4180680000 in words is "four billion, one hundred eighty million, six hundred eighty thousand".