8966864800 has 72 divisors (see below), whose sum is σ = 21922620300. Its totient is φ = 3581460480.

The previous prime is 8966864773. The next prime is 8966864813. The reversal of 8966864800 is 84686698.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 176677264 + 8790187536 = 13292^2 + 93756^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 559296 + ... + 575104.

Almost surely, 2^8966864800 is an apocalyptic number.

8966864800 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 8966864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10961310150).

8966864800 is an abundant number, since it is smaller than the sum of its proper divisors (12955755500).

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

8966864800 is a wasteful number, since it uses less digits than its factorization.

8966864800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16538 (or 16525 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 55.

The square root of 8966864800 is about 94693.5309300482. The cubic root of 8966864800 is about 2077.5279433298.

The spelling of 8966864800 in words is "eight billion, nine hundred sixty-six million, eight hundred sixty-four thousand, eight hundred".