7808329488960 has 2688 divisors, whose sum is σ = 38047850426880. Its totient is φ = 1481711616000.

The previous prime is 7808329488959. The next prime is 7808329488997. The reversal of 7808329488960 is 698849238087.

7808329488960 is a `hidden beast` number, since 7 + 8 + 0 + 83 + 2 + 9 + 488 + 9 + 60 = 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 383 ways as a sum of consecutive naturals, for example, 6114587842 + ... + 6114589118.

It is an arithmetic number, because the mean of its divisors is an integer number (14154706260).

Almost surely, 2^{7808329488960} is an apocalyptic number.

7808329488960 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 7808329488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19023925213440).

7808329488960 is an abundant number, since it is smaller than the sum of its proper divisors (30239520937920).

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

7808329488960 is a wasteful number, since it uses less digits than its factorization.

7808329488960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 7808329488960 in words is "seven trillion, eight hundred eight billion, three hundred twenty-nine million, four hundred eighty-eight thousand, nine hundred sixty".