84964961664 has 896 divisors, whose sum is σ = 298604102400. Its totient is φ = 23813222400.

The previous prime is 84964961659. The next prime is 84964961689. The reversal of 84964961664 is 46616946948.

84964961664 is a `hidden beast` number, since 8 + 4 + 9 + 6 + 4 + 9 + 616 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1392868194 + ... + 1392868254.

Almost surely, 2^84964961664 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 84964961664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149302051200).

84964961664 is an abundant number, since it is smaller than the sum of its proper divisors (213639140736).

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

84964961664 is a wasteful number, since it uses less digits than its factorization.

84964961664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 159 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 84964961664 in words is "eighty-four billion, nine hundred sixty-four million, nine hundred sixty-one thousand, six hundred sixty-four".