6005177265464 has 64 divisors (see below), whose sum is σ = 12207414320640. Its totient is φ = 2752978262400.

The previous prime is 6005177265463. The next prime is 6005177265473. The reversal of 6005177265464 is 4645627715006.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6005177265463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252869639 + ... + 252893385.

It is an arithmetic number, because the mean of its divisors is an integer number (190740848760).

Almost surely, 2^{6005177265464} 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 6005177265464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6103707160320).

6005177265464 is an abundant number, since it is smaller than the sum of its proper divisors (6202237055176).

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

6005177265464 is a wasteful number, since it uses less digits than its factorization.

6005177265464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40020 (or 40016 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 53.

The spelling of 6005177265464 in words is "six trillion, five billion, one hundred seventy-seven million, two hundred sixty-five thousand, four hundred sixty-four".