7998193440 has 288 divisors, whose sum is σ = 28398988800. Its totient is φ = 2047610880.

The previous prime is 7998193429. The next prime is 7998193453. The reversal of 7998193440 is 443918997.

7998193440 is a `hidden beast` number, since 7 + 9 + 9 + 8 + 193 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 6204316 + ... + 6205604.

It is an arithmetic number, because the mean of its divisors is an integer number (98607600).

Almost surely, 2^7998193440 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 7998193440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14199494400).

7998193440 is an abundant number, since it is smaller than the sum of its proper divisors (20400795360).

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

7998193440 is a wasteful number, since it uses less digits than its factorization.

7998193440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 7998193440 is about 89432.6195523759. The cubic root of 7998193440 is about 1999.8494419998.

The spelling of 7998193440 in words is "seven billion, nine hundred ninety-eight million, one hundred ninety-three thousand, four hundred forty".