84422476800 has 792 divisors, whose sum is σ = 322083364512. Its totient is φ = 21897216000.

The previous prime is 84422476777. The next prime is 84422476811. The reversal of 84422476800 is 867422448.

84422476800 is a `hidden beast` number, since 84 + 4 + 22 + 476 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 255052635 + ... + 255052965.

Almost surely, 2^84422476800 is an apocalyptic number.

84422476800 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 84422476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161041682256).

84422476800 is an abundant number, since it is smaller than the sum of its proper divisors (237660887712).

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

84422476800 is a wasteful number, since it uses less digits than its factorization.

84422476800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 84422476800 in words is "eighty-four billion, four hundred twenty-two million, four hundred seventy-six thousand, eight hundred".