7900066586880 has 432 divisors, whose sum is σ = 29633617868400. Its totient is φ = 1931575099392.

The previous prime is 7900066586803. The next prime is 7900066586989. The reversal of 7900066586880 is 886856600097.

It can be written as a sum of positive squares in 8 ways, for example, as 1132743004416 + 6767323582464 = 1064304^2 + 2601408^2 .

It is a super-2 number, since 2×7900066586880² (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 22137222 + ... + 22491258.

Almost surely, 2^{7900066586880} 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 7900066586880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14816808934200).

7900066586880 is an abundant number, since it is smaller than the sum of its proper divisors (21733551281520).

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

7900066586880 is a wasteful number, since it uses less digits than its factorization.

7900066586880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354226 (or 354209 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 7900066586880 in words is "seven trillion, nine hundred billion, sixty-six million, five hundred eighty-six thousand, eight hundred eighty".