84364200000 has 672 divisors, whose sum is σ = 328591468800. Its totient is φ = 21150720000.

The previous prime is 84364199989. The next prime is 84364200061. The reversal of 84364200000 is 246348.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91799541 + ... + 91800459.

It is an arithmetic number, because the mean of its divisors is an integer number (488975400).

Almost surely, 2^84364200000 is an apocalyptic number.

84364200000 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 84364200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164295734400).

84364200000 is an abundant number, since it is smaller than the sum of its proper divisors (244227268800).

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

84364200000 is an equidigital number, since it uses as much as digits as its factorization.

84364200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 84364200000 its reverse (246348), we get a palindrome (84364446348).

The spelling of 84364200000 in words is "eighty-four billion, three hundred sixty-four million, two hundred thousand".