4186672660800 has 3528 divisors, whose sum is σ = 19779301543680. Its totient is φ = 865338163200.

The previous prime is 4186672660777. The next prime is 4186672660837. The reversal of 4186672660800 is 80662766814.

4186672660800 is a `hidden beast` number, since 4 + 1 + 8 + 6 + 6 + 7 + 26 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3528).

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 503 ways as a sum of consecutive naturals, for example, 30119947131 + ... + 30119947269.

Almost surely, 2^{4186672660800} is an apocalyptic number.

4186672660800 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 4186672660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9889650771840).

4186672660800 is an abundant number, since it is smaller than the sum of its proper divisors (15592628882880).

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

4186672660800 is a wasteful number, since it uses less digits than its factorization.

4186672660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 4186672660800 in words is "four trillion, one hundred eighty-six billion, six hundred seventy-two million, six hundred sixty thousand, eight hundred".