6034735011264 has 112 divisors (see below), whose sum is σ = 16066867584768. Its totient is φ = 1998990931968.

The previous prime is 6034735011247. The next prime is 6034735011289. The reversal of 6034735011264 is 4621105374306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128328684 + ... + 128375700.

It is an arithmetic number, because the mean of its divisors is an integer number (143454174864).

Almost surely, 2^{6034735011264} is an apocalyptic number.

6034735011264 is a gapful number since it is divisible by the number (64) 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 6034735011264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8033433792384).

6034735011264 is an abundant number, since it is smaller than the sum of its proper divisors (10032132573504).

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

6034735011264 is a wasteful number, since it uses less digits than its factorization.

6034735011264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51202 (or 51192 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 6034735011264 in words is "six trillion, thirty-four billion, seven hundred thirty-five million, eleven thousand, two hundred sixty-four".