8333221628160 has 1728 divisors, whose sum is σ = 35312249306880. Its totient is φ = 1857520926720.

The previous prime is 8333221628101. The next prime is 8333221628177. The reversal of 8333221628160 is 618261223338.

8333221628160 is a `hidden beast` number, since 8 + 3 + 3 + 3 + 2 + 2 + 1 + 628 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32424986752 + ... + 32424987008.

It is an arithmetic number, because the mean of its divisors is an integer number (20435329460).

Almost surely, 2^{8333221628160} is an apocalyptic number.

8333221628160 is a gapful number since it is divisible by the number (80) 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 8333221628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17656124653440).

8333221628160 is an abundant number, since it is smaller than the sum of its proper divisors (26979027678720).

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

8333221628160 is an equidigital number, since it uses as much as digits as its factorization.

8333221628160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 8333221628160 in words is "eight trillion, three hundred thirty-three billion, two hundred twenty-one million, six hundred twenty-eight thousand, one hundred sixty".