4136287680 has 784 divisors, whose sum is σ = 17989905600. Its totient is φ = 883851264.

The previous prime is 4136287667. The next prime is 4136287681. The reversal of 4136287680 is 867826314.

4136287680 is a `hidden beast` number, since 4 + 13 + 628 + 7 + 6 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4136287681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 27760246 + ... + 27760394.

Almost surely, 2^4136287680 is an apocalyptic number.

4136287680 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 4136287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8994952800).

4136287680 is an abundant number, since it is smaller than the sum of its proper divisors (13853617920).

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

4136287680 is a wasteful number, since it uses less digits than its factorization.

4136287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4136287680 is about 64313.9773299708. The cubic root of 4136287680 is about 1605.2286860798.

The spelling of 4136287680 in words is "four billion, one hundred thirty-six million, two hundred eighty-seven thousand, six hundred eighty".