8722178304000 has 1536 divisors, whose sum is σ = 36972652953600. Its totient is φ = 1777257676800.

The previous prime is 8722178303941. The next prime is 8722178304041. The reversal of 8722178304000 is 4038712278.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1736445489 + ... + 1736450511.

It is an arithmetic number, because the mean of its divisors is an integer number (24070737600).

Almost surely, 2^{8722178304000} is an apocalyptic number.

8722178304000 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 8722178304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18486326476800).

8722178304000 is an abundant number, since it is smaller than the sum of its proper divisors (28250474649600).

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

8722178304000 is a wasteful number, since it uses less digits than its factorization.

8722178304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106 (or 5076 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 8722178304000 in words is "eight trillion, seven hundred twenty-two billion, one hundred seventy-eight million, three hundred four thousand".