84225604032 has 672 divisors, whose sum is σ = 291569241600. Its totient is φ = 23944605696.

The previous prime is 84225603997. The next prime is 84225604037. The reversal of 84225604032 is 23040652248.

84225604032 is a `hidden beast` number, since 8 + 4 + 22 + 560 + 40 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84225604037) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3661982773 + ... + 3661982795.

It is an arithmetic number, because the mean of its divisors is an integer number (433882800).

Almost surely, 2^84225604032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84225604032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145784620800).

84225604032 is an abundant number, since it is smaller than the sum of its proper divisors (207343637568).

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

84225604032 is an equidigital number, since it uses as much as digits as its factorization.

84225604032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 84225604032 in words is "eighty-four billion, two hundred twenty-five million, six hundred four thousand, thirty-two".