7104161564820 has 72 divisors (see below), whose sum is σ = 21608007692544. Its totient is φ = 1889281096128.

The previous prime is 7104161564809. The next prime is 7104161564839. The reversal of 7104161564820 is 284651614017.

7104161564820 is a `hidden beast` number, since 7 + 1 + 0 + 4 + 1 + 6 + 1 + 564 + 82 + 0 = 666.

It is a super-3 number, since 3×7104161564820³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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 23 ways as a sum of consecutive naturals, for example, 53704464 + ... + 53836583.

It is an arithmetic number, because the mean of its divisors is an integer number (300111217952).

Almost surely, 2^{7104161564820} is an apocalyptic number.

It is an amenable number.

7104161564820 is an abundant number, since it is smaller than the sum of its proper divisors (14503846127724).

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

7104161564820 is a wasteful number, since it uses less digits than its factorization.

7104161564820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107541429 (or 107541424 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 7104161564820 in words is "seven trillion, one hundred four billion, one hundred sixty-one million, five hundred sixty-four thousand, eight hundred twenty".