84916761408 has 336 divisors, whose sum is σ = 265871756800. Its totient is φ = 25813831680.

The previous prime is 84916761407. The next prime is 84916761409. The reversal of 84916761408 is 80416761948.

84916761408 is a `hidden beast` number, since 8 + 4 + 9 + 16 + 7 + 614 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (84916761407) and next prime (84916761409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84916761401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77690910 + ... + 77692002.

Almost surely, 2^84916761408 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 84916761408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132935878400).

84916761408 is an abundant number, since it is smaller than the sum of its proper divisors (180954995392).

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

84916761408 is a wasteful number, since it uses less digits than its factorization.

84916761408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

It can be divided in two parts, 849167 and 61408, that added together give a triangular number (910575 = T₁₃₄₉).

The spelling of 84916761408 in words is "eighty-four billion, nine hundred sixteen million, seven hundred sixty-one thousand, four hundred eight".