7989707980800 has 2880 divisors, whose sum is σ = 38334936407040. Its totient is φ = 1583181987840.

The previous prime is 7989707980781. The next prime is 7989707980823. The reversal of 7989707980800 is 80897079897.

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17108582167 + ... + 17108582633.

It is an arithmetic number, because the mean of its divisors is an integer number (13310741808).

Almost surely, 2^{7989707980800} is an apocalyptic number.

7989707980800 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 7989707980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19167468203520).

7989707980800 is an abundant number, since it is smaller than the sum of its proper divisors (30345228426240).

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

7989707980800 is a wasteful number, since it uses less digits than its factorization.

7989707980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 72.

The spelling of 7989707980800 in words is "seven trillion, nine hundred eighty-nine billion, seven hundred seven million, nine hundred eighty thousand, eight hundred".