7989884971200 has 3780 divisors, whose sum is σ = 35945354282376. Its totient is φ = 1737179136000.

The previous prime is 7989884971127. The next prime is 7989884971219. The reversal of 7989884971200 is 21794889897.

7989884971200 is a `hidden beast` number, since 7 + 9 + 8 + 9 + 8 + 8 + 497 + 120 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 185811278379 + ... + 185811278421.

Almost surely, 2^{7989884971200} 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 7989884971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17972677141188).

7989884971200 is an abundant number, since it is smaller than the sum of its proper divisors (27955469311176).

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

7989884971200 is a wasteful number, since it uses less digits than its factorization.

7989884971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 72.

The spelling of 7989884971200 in words is "seven trillion, nine hundred eighty-nine billion, eight hundred eighty-four million, nine hundred seventy-one thousand, two hundred".