7027799367680 has 448 divisors, whose sum is σ = 21110258292480. Its totient is φ = 2186416226304.

The previous prime is 7027799367647. The next prime is 7027799367691. The reversal of 7027799367680 is 867639977207.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219898262 + ... + 219930218.

It is an arithmetic number, because the mean of its divisors is an integer number (47121112260).

Almost surely, 2^{7027799367680} is an apocalyptic number.

7027799367680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7027799367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10555129146240).

7027799367680 is an abundant number, since it is smaller than the sum of its proper divisors (14082458924800).

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

7027799367680 is a wasteful number, since it uses less digits than its factorization.

7027799367680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32067 (or 32043 counting only the distinct ones).

The product of its (nonzero) digits is 336063168, while the sum is 71.

The spelling of 7027799367680 in words is "seven trillion, twenty-seven billion, seven hundred ninety-nine million, three hundred sixty-seven thousand, six hundred eighty".