834209196480 has 1512 divisors, whose sum is σ = 3391050132288. Its totient is φ = 187930828800.

The previous prime is 834209196479. The next prime is 834209196481. The reversal of 834209196480 is 84691902438.

834209196480 is a `hidden beast` number, since 8 + 3 + 420 + 91 + 96 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (834209196479) and next prime (834209196481).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834209196481) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 15739796134 + ... + 15739796186.

It is an arithmetic number, because the mean of its divisors is an integer number (2242758024).

Almost surely, 2^834209196480 is an apocalyptic number.

834209196480 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 834209196480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695525066144).

834209196480 is an abundant number, since it is smaller than the sum of its proper divisors (2556840935808).

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

834209196480 is a wasteful number, since it uses less digits than its factorization.

834209196480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 834209196480 in words is "eight hundred thirty-four billion, two hundred nine million, one hundred ninety-six thousand, four hundred eighty".