3022064640000 has 1680 divisors, whose sum is σ = 12966270565248. Its totient is φ = 688766976000.

The previous prime is 3022064639981. The next prime is 3022064640013. The reversal of 3022064640000 is 464602203.

3022064640000 is a `hidden beast` number, since 30 + 220 + 6 + 4 + 6 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8709119827 + ... + 8709120173.

Almost surely, 2^{3022064640000} is an apocalyptic number.

3022064640000 is a gapful number since it is divisible by the number (30) 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 3022064640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6483135282624).

3022064640000 is an abundant number, since it is smaller than the sum of its proper divisors (9944205925248).

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

3022064640000 is an frugal number, since it uses more digits than its factorization.

3022064640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 3022064640000 in words is "three trillion, twenty-two billion, sixty-four million, six hundred forty thousand".