84109643904 has 384 divisors, whose sum is σ = 280054333440. Its totient is φ = 22140518400.

The previous prime is 84109643869. The next prime is 84109643909. The reversal of 84109643904 is 40934690148.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×84109643904³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (84109643909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10264449 + ... + 10272639.

It is an arithmetic number, because the mean of its divisors is an integer number (729308160).

Almost surely, 2^84109643904 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 84109643904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140027166720).

84109643904 is an abundant number, since it is smaller than the sum of its proper divisors (195944689536).

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

84109643904 is a wasteful number, since it uses less digits than its factorization.

84109643904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8260 (or 8237 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 84109643904 in words is "eighty-four billion, one hundred nine million, six hundred forty-three thousand, nine hundred four".