8662012800 has 384 divisors, whose sum is σ = 33020386560. Its totient is φ = 1954775040.

The previous prime is 8662012789. The next prime is 8662012913. The reversal of 8662012800 is 82102668.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5576824 + ... + 5578376.

It is an arithmetic number, because the mean of its divisors is an integer number (85990590).

Almost surely, 2^8662012800 is an apocalyptic number.

8662012800 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 8662012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16510193280).

8662012800 is an abundant number, since it is smaller than the sum of its proper divisors (24358373760).

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

8662012800 is a wasteful number, since it uses less digits than its factorization.

8662012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 8662012800 is about 93069.9349951422. The cubic root of 8662012800 is about 2053.7123136240.

The spelling of 8662012800 in words is "eight billion, six hundred sixty-two million, twelve thousand, eight hundred".