834942217600 has 96 divisors (see below), whose sum is σ = 2066877979200. Its totient is φ = 333279037440.

The previous prime is 834942217583. The next prime is 834942217607. The reversal of 834942217600 is 6712249438.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834942217607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1260442 + ... + 1805158.

It is an arithmetic number, because the mean of its divisors is an integer number (21529978950).

Almost surely, 2^834942217600 is an apocalyptic number.

834942217600 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 834942217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033438989600).

834942217600 is an abundant number, since it is smaller than the sum of its proper divisors (1231935761600).

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

834942217600 is a wasteful number, since it uses less digits than its factorization.

834942217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545220 (or 545203 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 834942217600 in words is "eight hundred thirty-four billion, nine hundred forty-two million, two hundred seventeen thousand, six hundred".