834956938959660 has 1536 divisors, whose sum is σ = 3047753060352000. Its totient is φ = 187921443225600.

The previous prime is 834956938959593. The next prime is 834956938959697. The reversal of 834956938959660 is 66959839659438.

It is a happy number.

834956938959660 is a `hidden beast` number, since 8 + 3 + 4 + 9 + 5 + 6 + 9 + 3 + 8 + 9 + 596 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 69818284761 + ... + 69818296719.

It is an arithmetic number, because the mean of its divisors is an integer number (1984214232000).

Almost surely, 2^{834956938959660} 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 834956938959660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523876530176000).

834956938959660 is an abundant number, since it is smaller than the sum of its proper divisors (2212796121392340).

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

834956938959660 is a wasteful number, since it uses less digits than its factorization.

834956938959660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12244 (or 12236 counting only the distinct ones).

The product of its (nonzero) digits is 81629337600, while the sum is 90.

The spelling of 834956938959660 in words is "eight hundred thirty-four trillion, nine hundred fifty-six billion, nine hundred thirty-eight million, nine hundred fifty-nine thousand, six hundred sixty".