7881617823840 has 576 divisors, whose sum is σ = 27986212800000. Its totient is φ = 2017462616064.

The previous prime is 7881617823823. The next prime is 7881617823847. The reversal of 7881617823840 is 483287161887.

7881617823840 is a `hidden beast` number, since 7 + 8 + 8 + 1 + 617 + 8 + 2 + 3 + 8 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7881617823847) 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 95 ways as a sum of consecutive naturals, for example, 6981060396 + ... + 6981061524.

It is an arithmetic number, because the mean of its divisors is an integer number (48587175000).

Almost surely, 2^{7881617823840} 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 7881617823840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13993106400000).

7881617823840 is an abundant number, since it is smaller than the sum of its proper divisors (20104594976160).

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

7881617823840 is a wasteful number, since it uses less digits than its factorization.

7881617823840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 7881617823840 in words is "seven trillion, eight hundred eighty-one billion, six hundred seventeen million, eight hundred twenty-three thousand, eight hundred forty".