8355073104 has 360 divisors, whose sum is σ = 29334461760. Its totient is φ = 2265943680.

The previous prime is 8355073099. The next prime is 8355073121. The reversal of 8355073104 is 4013705538.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63779119 + ... + 63779249.

It is an arithmetic number, because the mean of its divisors is an integer number (81484616).

Almost surely, 2^8355073104 is an apocalyptic number.

8355073104 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 8355073104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14667230880).

8355073104 is an abundant number, since it is smaller than the sum of its proper divisors (20979388656).

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

8355073104 is a wasteful number, since it uses less digits than its factorization.

8355073104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 8355073104 is about 91406.0889875505. The cubic root of 8355073104 is about 2029.1621433332.

The spelling of 8355073104 in words is "eight billion, three hundred fifty-five million, seventy-three thousand, one hundred four".