8098415730720 has 1440 divisors, whose sum is σ = 35534913321600. Its totient is φ = 1696725688320.

The previous prime is 8098415730703. The next prime is 8098415730809. The reversal of 8098415730720 is 270375148908.

It is a happy number.

8098415730720 is a `hidden beast` number, since 8 + 0 + 9 + 8 + 41 + 573 + 0 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 239 ways as a sum of consecutive naturals, for example, 1656454036 + ... + 1656458924.

It is an arithmetic number, because the mean of its divisors is an integer number (24677023140).

Almost surely, 2^{8098415730720} is an apocalyptic number.

8098415730720 is a gapful number since it is divisible by the number (80) 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 8098415730720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17767456660800).

8098415730720 is an abundant number, since it is smaller than the sum of its proper divisors (27436497590880).

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

8098415730720 is a wasteful number, since it uses less digits than its factorization.

8098415730720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5004 (or 4956 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 8098415730720 in words is "eight trillion, ninety-eight billion, four hundred fifteen million, seven hundred thirty thousand, seven hundred twenty".