84075529664 has 168 divisors, whose sum is σ = 205882372080. Its totient is φ = 33848500224.

The previous prime is 84075529661. The next prime is 84075529673. The reversal of 84075529664 is 46692557048.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84075529661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36410942 + ... + 36413250.

It is an arithmetic number, because the mean of its divisors is an integer number (1225490310).

Almost surely, 2^84075529664 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 84075529664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102941186040).

84075529664 is an abundant number, since it is smaller than the sum of its proper divisors (121806842416).

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

84075529664 is a wasteful number, since it uses less digits than its factorization.

84075529664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 56.

The spelling of 84075529664 in words is "eighty-four billion, seventy-five million, five hundred twenty-nine thousand, six hundred sixty-four".