6734585906202 has 144 divisors (see below), whose sum is σ = 17346006044640. Its totient is φ = 1736657334720.

The previous prime is 6734585906201. The next prime is 6734585906203. The reversal of 6734585906202 is 2026095854376.

It is an interprime number because it is at equal distance from previous prime (6734585906201) and next prime (6734585906203).

It is a super-2 number, since 2×6734585906202² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6734585906201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4263808 + ... + 5625764.

It is an arithmetic number, because the mean of its divisors is an integer number (120458375310).

Almost surely, 2^{6734585906202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6734585906202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8673003022320).

6734585906202 is an abundant number, since it is smaller than the sum of its proper divisors (10611420138438).

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

6734585906202 is a wasteful number, since it uses less digits than its factorization.

6734585906202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362137 (or 1362119 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 57.

The spelling of 6734585906202 in words is "six trillion, seven hundred thirty-four billion, five hundred eighty-five million, nine hundred six thousand, two hundred two".