4188672000 has 520 divisors, whose sum is σ = 15770558232. Its totient is φ = 1105920000.

The previous prime is 4188671983. The next prime is 4188672013. The reversal of 4188672000 is 2768814.

It can be written as a sum of positive squares in 4 ways, for example, as 26873856 + 4161798144 = 5184^2 + 64512^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41471950 + ... + 41472050.

Almost surely, 2^4188672000 is an apocalyptic number.

4188672000 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 4188672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7885279116).

4188672000 is an abundant number, since it is smaller than the sum of its proper divisors (11581886232).

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

4188672000 is an equidigital number, since it uses as much as digits as its factorization.

4188672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 4188672000 is about 64719.9505562234. The cubic root of 4188672000 is about 1611.9767907714.

The spelling of 4188672000 in words is "four billion, one hundred eighty-eight million, six hundred seventy-two thousand".