4163476680 has 256 divisors, whose sum is σ = 15300230400. Its totient is φ = 998645760.

The previous prime is 4163476663. The next prime is 4163476697. The reversal of 4163476680 is 866743614.

It is a happy number.

4163476680 is a `hidden beast` number, since 4 + 1 + 634 + 7 + 6 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4163476663) and next prime (4163476697).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1150554 + ... + 1154166.

It is an arithmetic number, because the mean of its divisors is an integer number (59766525).

Almost surely, 2^4163476680 is an apocalyptic number.

4163476680 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 4163476680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7650115200).

4163476680 is an abundant number, since it is smaller than the sum of its proper divisors (11136753720).

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

4163476680 is a wasteful number, since it uses less digits than its factorization.

4163476680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741 (or 3731 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4163476680 is about 64525.0081751254. The cubic root of 4163476680 is about 1608.7382163981.

The spelling of 4163476680 in words is "four billion, one hundred sixty-three million, four hundred seventy-six thousand, six hundred eighty".