6734202134004 has 192 divisors, whose sum is σ = 17862021703680. Its totient is φ = 2193533084160.

The previous prime is 6734202134003. The next prime is 6734202134021. The reversal of 6734202134004 is 4004312024376.

6734202134004 is a `hidden beast` number, since 6 + 7 + 34 + 2 + 0 + 213 + 400 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6734202134004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6734202134003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 458632047 + ... + 458646729.

It is an arithmetic number, because the mean of its divisors is an integer number (93031363040).

Almost surely, 2^{6734202134004} 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 6734202134004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8931010851840).

6734202134004 is an abundant number, since it is smaller than the sum of its proper divisors (11127819569676).

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

6734202134004 is a wasteful number, since it uses less digits than its factorization.

6734202134004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15267 (or 15259 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 6734202134004 in words is "six trillion, seven hundred thirty-four billion, two hundred two million, one hundred thirty-four thousand, four".