8866436382720 has 1728 divisors, whose sum is σ = 37150080512220. Its totient is φ = 1950099701760.

The previous prime is 8866436382709. The next prime is 8866436382731. The reversal of 8866436382720 is 272836346688.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8866436382709) and next prime (8866436382731).

It can be written as a sum of positive squares in 6 ways, for example, as 297749200896 + 8568687181824 = 545664^2 + 2927232^2 .

It is a super-2 number, since 2×8866436382720² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 121458032604 + ... + 121458032676.

Almost surely, 2^{8866436382720} is an apocalyptic number.

8866436382720 is a gapful number since it is divisible by the number (80) 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 8866436382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18575040256110).

8866436382720 is an abundant number, since it is smaller than the sum of its proper divisors (28283644129500).

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

8866436382720 is an equidigital number, since it uses as much as digits as its factorization.

8866436382720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 8866436382720 in words is "eight trillion, eight hundred sixty-six billion, four hundred thirty-six million, three hundred eighty-two thousand, seven hundred twenty".