84838416768 has 512 divisors, whose sum is σ = 316203264000. Its totient is φ = 21819359232.

The previous prime is 84838416727. The next prime is 84838416787. The reversal of 84838416768 is 86761483848.

84838416768 is a `hidden beast` number, since 8 + 483 + 84 + 1 + 6 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 63 ways as a sum of consecutive naturals, for example, 9454588 + ... + 9463556.

It is an arithmetic number, because the mean of its divisors is an integer number (617584500).

Almost surely, 2^84838416768 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 84838416768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158101632000).

84838416768 is an abundant number, since it is smaller than the sum of its proper divisors (231364847232).

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

84838416768 is a wasteful number, since it uses less digits than its factorization.

84838416768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9039 (or 9021 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 63.

The spelling of 84838416768 in words is "eighty-four billion, eight hundred thirty-eight million, four hundred sixteen thousand, seven hundred sixty-eight".