84004172352 has 336 divisors, whose sum is σ = 253066125312. Its totient is φ = 26618941440.

The previous prime is 84004172311. The next prime is 84004172359. The reversal of 84004172352 is 25327140048.

It is a happy number.

84004172352 is a `hidden beast` number, since 8 + 4 + 0 + 0 + 417 + 235 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (84004172359) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182221402 + ... + 182221862.

It is an arithmetic number, because the mean of its divisors is an integer number (753172992).

Almost surely, 2^84004172352 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 84004172352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126533062656).

84004172352 is an abundant number, since it is smaller than the sum of its proper divisors (169061952960).

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

84004172352 is a wasteful number, since it uses less digits than its factorization.

84004172352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 84004172352 in words is "eighty-four billion, four million, one hundred seventy-two thousand, three hundred fifty-two".