84364850304 has 384 divisors, whose sum is σ = 287658408960. Its totient is φ = 23224320000.

The previous prime is 84364850281. The next prime is 84364850341. The reversal of 84364850304 is 40305846348.

84364850304 is a `hidden beast` number, since 84 + 3 + 64 + 8 + 503 + 0 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 84364850304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70244904 + ... + 70246104.

It is an arithmetic number, because the mean of its divisors is an integer number (749110440).

Almost surely, 2^84364850304 is an apocalyptic number.

84364850304 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84364850304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143829204480).

84364850304 is an abundant number, since it is smaller than the sum of its proper divisors (203293558656).

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

84364850304 is a wasteful number, since it uses less digits than its factorization.

84364850304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 84364850304 in words is "eighty-four billion, three hundred sixty-four million, eight hundred fifty thousand, three hundred four".