7983678813840 has 640 divisors, whose sum is σ = 29426573721600. Its totient is φ = 1982494310400.

The previous prime is 7983678813811. The next prime is 7983678813881. The reversal of 7983678813840 is 483188763897.

7983678813840 is a `hidden beast` number, since 7 + 98 + 367 + 8 + 8 + 138 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4606853614 + ... + 4606855346.

It is an arithmetic number, because the mean of its divisors is an integer number (45979021440).

Almost surely, 2^{7983678813840} 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 7983678813840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14713286860800).

7983678813840 is an abundant number, since it is smaller than the sum of its proper divisors (21442894907760).

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

7983678813840 is a wasteful number, since it uses less digits than its factorization.

7983678813840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3032 (or 3020 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 7983678813840 in words is "seven trillion, nine hundred eighty-three billion, six hundred seventy-eight million, eight hundred thirteen thousand, eight hundred forty".