840670709760 has 576 divisors, whose sum is σ = 3375647533440. Its totient is φ = 189510451200.

The previous prime is 840670709693. The next prime is 840670709803. The reversal of 840670709760 is 67907076048.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 840670709697 and 840670709706.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47084835 + ... + 47102685.

It is an arithmetic number, because the mean of its divisors is an integer number (5860499190).

Almost surely, 2^840670709760 is an apocalyptic number.

840670709760 is a gapful number since it is divisible by the number (80) 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 840670709760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687823766720).

840670709760 is an abundant number, since it is smaller than the sum of its proper divisors (2534976823680).

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

840670709760 is a wasteful number, since it uses less digits than its factorization.

840670709760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17964 (or 17941 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 840670709760 in words is "eight hundred forty billion, six hundred seventy million, seven hundred nine thousand, seven hundred sixty".