7105845050064 has 240 divisors, whose sum is σ = 20776529592000. Its totient is φ = 2265129216000.

The previous prime is 7105845049999. The next prime is 7105845050113. The reversal of 7105845050064 is 4600505485017.

7105845050064 is a `hidden beast` number, since 7 + 1 + 0 + 5 + 84 + 5 + 0 + 500 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121540039 + ... + 121598489.

It is an arithmetic number, because the mean of its divisors is an integer number (86568873300).

Almost surely, 2^{7105845050064} 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 7105845050064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10388264796000).

7105845050064 is an abundant number, since it is smaller than the sum of its proper divisors (13670684541936).

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

7105845050064 is a wasteful number, since it uses less digits than its factorization.

7105845050064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58914 (or 58905 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 7105845050064 in words is "seven trillion, one hundred five billion, eight hundred forty-five million, fifty thousand, sixty-four".