4186066480 has 80 divisors (see below), whose sum is σ = 10093416480. Its totient is φ = 1612642304.

The previous prime is 4186066439. The next prime is 4186066481. The reversal of 4186066480 is 846606814.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4186066481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1025724 + ... + 1029796.

It is an arithmetic number, because the mean of its divisors is an integer number (126167706).

Almost surely, 2^4186066480 is an apocalyptic number.

4186066480 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 4186066480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5046708240).

4186066480 is an abundant number, since it is smaller than the sum of its proper divisors (5907350000).

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

4186066480 is a wasteful number, since it uses less digits than its factorization.

4186066480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4558 (or 4552 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 4186066480 is about 64699.8182377663. The cubic root of 4186066480 is about 1611.6424836265.

The spelling of 4186066480 in words is "four billion, one hundred eighty-six million, sixty-six thousand, four hundred eighty".