84968129664 has 192 divisors, whose sum is σ = 267613426080. Its totient is φ = 25662873600.

The previous prime is 84968129651. The next prime is 84968129671. The reversal of 84968129664 is 46692186948.

84968129664 is a `hidden beast` number, since 8 + 496 + 81 + 2 + 9 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3879384 + ... + 3901224.

Almost surely, 2^84968129664 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 84968129664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133806713040).

84968129664 is an abundant number, since it is smaller than the sum of its proper divisors (182645296416).

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

84968129664 is a wasteful number, since it uses less digits than its factorization.

84968129664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22179 (or 22164 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 84968129664 in words is "eighty-four billion, nine hundred sixty-eight million, one hundred twenty-nine thousand, six hundred sixty-four".