7989905629440 has 1944 divisors, whose sum is σ = 34896766963968. Its totient is φ = 1745098629120.

The previous prime is 7989905629373. The next prime is 7989905629469. The reversal of 7989905629440 is 449265099897.

7989905629440 is a `hidden beast` number, since 7 + 98 + 9 + 90 + 5 + 6 + 2 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

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

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 215 ways as a sum of consecutive naturals, for example, 8062467345 + ... + 8062468335.

Almost surely, 2^{7989905629440} is an apocalyptic number.

7989905629440 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 7989905629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17448383481984).

7989905629440 is an abundant number, since it is smaller than the sum of its proper divisors (26906861334528).

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

7989905629440 is an equidigital number, since it uses as much as digits as its factorization.

7989905629440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 7989905629440 in words is "seven trillion, nine hundred eighty-nine billion, nine hundred five million, six hundred twenty-nine thousand, four hundred forty".