84002221632000 has 1280 divisors, whose sum is σ = 323594008657920. Its totient is φ = 18937110528000.

The previous prime is 84002221631987. The next prime is 84002221632139. The reversal of 84002221632000 is 23612220048.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×84002221632000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30894526641 + ... + 30894529359.

It is an arithmetic number, because the mean of its divisors is an integer number (252807819264).

Almost surely, 2^{84002221632000} is an apocalyptic number.

84002221632000 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 84002221632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161797004328960).

84002221632000 is an abundant number, since it is smaller than the sum of its proper divisors (239591787025920).

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

84002221632000 is a wasteful number, since it uses less digits than its factorization.

84002221632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 84002221632000 its reverse (23612220048), we get a palindrome (84025833852048).

The spelling of 84002221632000 in words is "eighty-four trillion, two billion, two hundred twenty-one million, six hundred thirty-two thousand".