7984493749890 has 96 divisors (see below), whose sum is σ = 23745342741120. Its totient is φ = 1823489459712.

The previous prime is 7984493749867. The next prime is 7984493749901. The reversal of 7984493749890 is 989473944897.

7984493749890 is a `hidden beast` number, since 7 + 9 + 8 + 4 + 4 + 9 + 37 + 498 + 90 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4590775 + ... + 6086394.

It is an arithmetic number, because the mean of its divisors is an integer number (247347320220).

Almost surely, 2^{7984493749890} is an apocalyptic number.

7984493749890 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7984493749890 is an abundant number, since it is smaller than the sum of its proper divisors (15760848991230).

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

7984493749890 is a wasteful number, since it uses less digits than its factorization.

7984493749890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10678376 (or 10678373 counting only the distinct ones).

The product of its (nonzero) digits is 3950456832, while the sum is 81.

The spelling of 7984493749890 in words is "seven trillion, nine hundred eighty-four billion, four hundred ninety-three million, seven hundred forty-nine thousand, eight hundred ninety".