84925084608 has 336 divisors, whose sum is σ = 312769971360. Its totient is φ = 22397534208.

The previous prime is 84925084591. The next prime is 84925084613. The reversal of 84925084608 is 80648052948.

84925084608 is a `hidden beast` number, since 8 + 4 + 9 + 25 + 0 + 8 + 4 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 1062160 + ... + 1139312.

It is an arithmetic number, because the mean of its divisors is an integer number (930863010).

Almost surely, 2^84925084608 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 84925084608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156384985680).

84925084608 is an abundant number, since it is smaller than the sum of its proper divisors (227844886752).

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

84925084608 is a wasteful number, since it uses less digits than its factorization.

84925084608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77201 (or 77178 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 84925084608 in words is "eighty-four billion, nine hundred twenty-five million, eighty-four thousand, six hundred eight".