7820259190848 has 336 divisors, whose sum is σ = 25462105032000. Its totient is φ = 2274926653440.

The previous prime is 7820259190847. The next prime is 7820259190963. The reversal of 7820259190848 is 8480919520287.

It is a super-2 number, since 2×7820259190848² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7820259190847) by changing a digit.

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, 69799578 + ... + 69911526.

It is an arithmetic number, because the mean of its divisors is an integer number (75780074500).

Almost surely, 2^{7820259190848} is an apocalyptic number.

7820259190848 is a gapful number since it is divisible by the number (78) 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 7820259190848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12731052516000).

7820259190848 is an abundant number, since it is smaller than the sum of its proper divisors (17641845841152).

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

7820259190848 is a wasteful number, since it uses less digits than its factorization.

7820259190848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112490 (or 112477 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 7820259190848 in words is "seven trillion, eight hundred twenty billion, two hundred fifty-nine million, one hundred ninety thousand, eight hundred forty-eight".