1468820736 has 288 divisors, whose sum is σ = 4573981440. Its totient is φ = 464486400.

The previous prime is 1468820729. The next prime is 1468820741. The reversal of 1468820736 is 6370288641.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 1468820691 and 1468820700.

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 31 ways as a sum of consecutive naturals, for example, 20120796 + ... + 20120868.

It is an arithmetic number, because the mean of its divisors is an integer number (15881880).

Almost surely, 2^1468820736 is an apocalyptic number.

1468820736 is a gapful number since it is divisible by the number (16) 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 1468820736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286990720).

1468820736 is an abundant number, since it is smaller than the sum of its proper divisors (3105160704).

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

1468820736 is an equidigital number, since it uses as much as digits as its factorization.

1468820736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 190 counting only the distinct ones).

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

The square root of 1468820736 is about 38325.1971423501. The cubic root of 1468820736 is about 1136.7272338774.

The spelling of 1468820736 in words is "one billion, four hundred sixty-eight million, eight hundred twenty thousand, seven hundred thirty-six".