84774883824 has 400 divisors, whose sum is σ = 270288057600. Its totient is φ = 25532817408.

The previous prime is 84774883811. The next prime is 84774883847. The reversal of 84774883824 is 42838847748.

84774883824 is a `hidden beast` number, since 8 + 4 + 77 + 488 + 3 + 82 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 176982817 + ... + 176983295.

It is an arithmetic number, because the mean of its divisors is an integer number (675720144).

Almost surely, 2^84774883824 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 84774883824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135144028800).

84774883824 is an abundant number, since it is smaller than the sum of its proper divisors (185513173776).

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

84774883824 is a wasteful number, since it uses less digits than its factorization.

84774883824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 807 counting only the distinct ones).

The product of its digits is 77070336, while the sum is 63.

The spelling of 84774883824 in words is "eighty-four billion, seven hundred seventy-four million, eight hundred eighty-three thousand, eight hundred twenty-four".