84394321200 has 1200 divisors, whose sum is σ = 362685090240. Its totient is φ = 18393661440.

The previous prime is 84394321117. The next prime is 84394321259. The reversal of 84394321200 is 212349348.

84394321200 is a `hidden beast` number, since 8 + 43 + 94 + 321 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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 239 ways as a sum of consecutive naturals, for example, 746852344 + ... + 746852456.

Almost surely, 2^84394321200 is an apocalyptic number.

84394321200 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 84394321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181342545120).

84394321200 is an abundant number, since it is smaller than the sum of its proper divisors (278290769040).

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

84394321200 is a wasteful number, since it uses less digits than its factorization.

84394321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 84394321200 in words is "eighty-four billion, three hundred ninety-four million, three hundred twenty-one thousand, two hundred".