834426718020 has 960 divisors, whose sum is σ = 3163518167040. Its totient is φ = 180153372672.

The previous prime is 834426718009. The next prime is 834426718031. The reversal of 834426718020 is 20817624438.

It is a happy number.

834426718020 is a `hidden beast` number, since 8 + 3 + 442 + 6 + 7 + 180 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (834426718009) and next prime (834426718031).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3491325061 + ... + 3491325299.

It is an arithmetic number, because the mean of its divisors is an integer number (3295331424).

Almost surely, 2^834426718020 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 834426718020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581759083520).

834426718020 is an abundant number, since it is smaller than the sum of its proper divisors (2329091449020).

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

834426718020 is a wasteful number, since it uses less digits than its factorization.

834426718020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 834426718020 in words is "eight hundred thirty-four billion, four hundred twenty-six million, seven hundred eighteen thousand, twenty".