4468628736 has 540 divisors, whose sum is σ = 15887846436. Its totient is φ = 1240842240.

The previous prime is 4468628711. The next prime is 4468628741. The reversal of 4468628736 is 6378268644.

4468628736 is a `hidden beast` number, since 4 + 4 + 6 + 8 + 628 + 7 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1568160000 + 2900468736 = 39600^2 + 53856^2 .

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32617660 + ... + 32617796.

Almost surely, 2^4468628736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4468628736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7943923218).

4468628736 is an abundant number, since it is smaller than the sum of its proper divisors (11419217700).

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

4468628736 is a wasteful number, since it uses less digits than its factorization.

4468628736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 166 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The square root of 4468628736 is about 66847.8027761571. The cubic root of 4468628736 is about 1647.1181696295.

The spelling of 4468628736 in words is "four billion, four hundred sixty-eight million, six hundred twenty-eight thousand, seven hundred thirty-six".