84754636416 has 672 divisors, whose sum is σ = 282981569220. Its totient is φ = 25181798400.

The previous prime is 84754636333. The next prime is 84754636423. The reversal of 84754636416 is 61463645748.

84754636416 is a `hidden beast` number, since 84 + 7 + 546 + 3 + 6 + 4 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69328996416 + 15425640000 = 263304^2 + 124200^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 839154766 + ... + 839154866.

Almost surely, 2^84754636416 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 84754636416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141490784610).

84754636416 is an abundant number, since it is smaller than the sum of its proper divisors (198226932804).

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

84754636416 is a wasteful number, since it uses less digits than its factorization.

84754636416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 146 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 84754636416 in words is "eighty-four billion, seven hundred fifty-four million, six hundred thirty-six thousand, four hundred sixteen".