7848640800000 has 4320 divisors, whose sum is σ = 39600220923648. Its totient is φ = 1505433600000.

The previous prime is 7848640799969. The next prime is 7848640800001. The reversal of 7848640800000 is 80468487.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7848640800001) 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 479 ways as a sum of consecutive naturals, for example, 603741599994 + ... + 603741600006.

Almost surely, 2^{7848640800000} is an apocalyptic number.

7848640800000 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 7848640800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19800110461824).

7848640800000 is an abundant number, since it is smaller than the sum of its proper divisors (31751580123648).

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

7848640800000 is an frugal number, since it uses more digits than its factorization.

7848640800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 7848640800000 in words is "seven trillion, eight hundred forty-eight billion, six hundred forty million, eight hundred thousand".