834795319680 has 1152 divisors, whose sum is σ = 3614106562560. Its totient is φ = 173717913600.

The previous prime is 834795319669. The next prime is 834795319681. The reversal of 834795319680 is 86913597438.

834795319680 is a `hidden beast` number, since 8 + 3 + 4 + 7 + 9 + 531 + 96 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834795319681) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 361225725 + ... + 361228035.

It is an arithmetic number, because the mean of its divisors is an integer number (3137245280).

Almost surely, 2^834795319680 is an apocalyptic number.

834795319680 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 834795319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807053281280).

834795319680 is an abundant number, since it is smaller than the sum of its proper divisors (2779311242880).

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

834795319680 is a wasteful number, since it uses less digits than its factorization.

834795319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 834795319680 in words is "eight hundred thirty-four billion, seven hundred ninety-five million, three hundred nineteen thousand, six hundred eighty".