7064883643104 has 768 divisors, whose sum is σ = 26231869440000. Its totient is φ = 1803345223680.

The previous prime is 7064883643091. The next prime is 7064883643109. The reversal of 7064883643104 is 4013463884607.

7064883643104 is a `hidden beast` number, since 70 + 6 + 488 + 3 + 64 + 31 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7064883643109) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 187632472 + ... + 187670120.

It is an arithmetic number, because the mean of its divisors is an integer number (34156080000).

Almost surely, 2^{7064883643104} 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 7064883643104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13115934720000).

7064883643104 is an abundant number, since it is smaller than the sum of its proper divisors (19166985796896).

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

7064883643104 is a wasteful number, since it uses less digits than its factorization.

7064883643104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37788 (or 37774 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 7064883643104 in words is "seven trillion, sixty-four billion, eight hundred eighty-three million, six hundred forty-three thousand, one hundred four".