3220058087064 has 768 divisors, whose sum is σ = 11809224161280. Its totient is φ = 797705625600.

The previous prime is 3220058087053. The next prime is 3220058087093. The reversal of 3220058087064 is 4607808500223.

3220058087064 is a `hidden beast` number, since 3 + 2 + 2 + 0 + 0 + 580 + 8 + 7 + 0 + 64 = 666.

It is a congruent number.

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, 2475063214 + ... + 2475064514.

It is an arithmetic number, because the mean of its divisors is an integer number (15376593960).

Almost surely, 2^{3220058087064} is an apocalyptic number.

3220058087064 is a gapful number since it is divisible by the number (34) 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 3220058087064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5904612080640).

3220058087064 is an abundant number, since it is smaller than the sum of its proper divisors (8589166074216).

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

3220058087064 is a wasteful number, since it uses less digits than its factorization.

3220058087064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 3220058087064 in words is "three trillion, two hundred twenty billion, fifty-eight million, eighty-seven thousand, sixty-four".