822616704000 has 3168 divisors, whose sum is σ = 3975300201600. Its totient is φ = 161641267200.

The previous prime is 822616703983. The next prime is 822616704023. The reversal of 822616704000 is 407616228.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13942655971 + ... + 13942656029.

Almost surely, 2^822616704000 is an apocalyptic number.

822616704000 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 822616704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987650100800).

822616704000 is an abundant number, since it is smaller than the sum of its proper divisors (3152683497600).

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

822616704000 is a wasteful number, since it uses less digits than its factorization.

822616704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 822616704000 in words is "eight hundred twenty-two billion, six hundred sixteen million, seven hundred four thousand".