84016357632 has 108 divisors (see below), whose sum is σ = 242347189084. Its totient is φ = 27993047040.

The previous prime is 84016357627. The next prime is 84016357637. The reversal of 84016357632 is 23675361048.

84016357632 is a `hidden beast` number, since 8 + 4 + 0 + 1 + 6 + 3 + 5 + 7 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (84016357627) and next prime (84016357637).

It can be written as a sum of positive squares in 2 ways, for example, as 53017825536 + 30998532096 = 230256^2 + 176064^2 .

It is not an unprimeable number, because it can be changed into a prime (84016357637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6244032 + ... + 6257472.

Almost surely, 2^84016357632 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 84016357632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121173594542).

84016357632 is an abundant number, since it is smaller than the sum of its proper divisors (158330831452).

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

84016357632 is a wasteful number, since it uses less digits than its factorization.

84016357632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16176 (or 16159 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 84016357632 in words is "eighty-four billion, sixteen million, three hundred fifty-seven thousand, six hundred thirty-two".