4406501736 has 672 divisors, whose sum is σ = 16790578560. Its totient is φ = 1053119232.

The previous prime is 4406501731. The next prime is 4406501753. The reversal of 4406501736 is 6371056044.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4406501736.

It is not an unprimeable number, because it can be changed into a prime (4406501731) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 191587021 + ... + 191587043.

It is an arithmetic number, because the mean of its divisors is an integer number (24985980).

Almost surely, 2^4406501736 is an apocalyptic number.

4406501736 is a gapful number since it is divisible by the number (46) 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 4406501736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8395289280).

4406501736 is an abundant number, since it is smaller than the sum of its proper divisors (12384076824).

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

4406501736 is a wasteful number, since it uses less digits than its factorization.

4406501736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4406501736 is about 66381.4863949279. The cubic root of 4406501736 is about 1639.4492667926.

The spelling of 4406501736 in words is "four billion, four hundred six million, five hundred one thousand, seven hundred thirty-six".