7964089689600 has 2880 divisors, whose sum is σ = 34366216135680. Its totient is φ = 1790027366400.

The previous prime is 7964089689593. The next prime is 7964089689613. The reversal of 7964089689600 is 69869804697.

7964089689600 is a `hidden beast` number, since 7 + 9 + 6 + 4 + 0 + 8 + 9 + 6 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 150265843174 + ... + 150265843226.

It is an arithmetic number, because the mean of its divisors is an integer number (11932713936).

Almost surely, 2^{7964089689600} 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 7964089689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17183108067840).

7964089689600 is an abundant number, since it is smaller than the sum of its proper divisors (26402126446080).

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

7964089689600 is a wasteful number, since it uses less digits than its factorization.

7964089689600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 7964089689600 in words is "seven trillion, nine hundred sixty-four billion, eighty-nine million, six hundred eighty-nine thousand, six hundred".