6834190506 has 64 divisors (see below), whose sum is σ = 16200293760. Its totient is φ = 1894717440.

The previous prime is 6834190439. The next prime is 6834190507. The reversal of 6834190506 is 6050914386.

It is not an unprimeable number, because it can be changed into a prime (6834190507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61710 + ... + 132198.

It is an arithmetic number, because the mean of its divisors is an integer number (253129590).

Almost surely, 2^6834190506 is an apocalyptic number.

6834190506 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6834190506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8100146880).

6834190506 is an abundant number, since it is smaller than the sum of its proper divisors (9366103254).

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

6834190506 is a wasteful number, since it uses less digits than its factorization.

6834190506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70631.

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 6834190506 is about 82669.1629690298. The cubic root of 6834190506 is about 1897.7064204223.

The spelling of 6834190506 in words is "six billion, eight hundred thirty-four million, one hundred ninety thousand, five hundred six".