834907903704 has 160 divisors (see below), whose sum is σ = 2672982792480. Its totient is φ = 238509950976.

The previous prime is 834907903673. The next prime is 834907903717. The reversal of 834907903704 is 407309709438.

834907903704 is a `hidden beast` number, since 83 + 490 + 7 + 9 + 0 + 3 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61397034 + ... + 61410630.

It is an arithmetic number, because the mean of its divisors is an integer number (16706142453).

Almost surely, 2^834907903704 is an apocalyptic number.

834907903704 is a gapful number since it is divisible by the number (84) 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 834907903704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336491396240).

834907903704 is an abundant number, since it is smaller than the sum of its proper divisors (1838074888776).

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

834907903704 is a wasteful number, since it uses less digits than its factorization.

834907903704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27159 (or 27146 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 834907903704 in words is "eight hundred thirty-four billion, nine hundred seven million, nine hundred three thousand, seven hundred four".