6135864267744 has 144 divisors (see below), whose sum is σ = 17626001283072. Its totient is φ = 2024597562624.

The previous prime is 6135864267713. The next prime is 6135864267821. The reversal of 6135864267744 is 4477624685316.

6135864267744 is a `hidden beast` number, since 6 + 1 + 3 + 586 + 4 + 2 + 6 + 7 + 7 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6135864267744² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16013827 + ... + 16392509.

It is an arithmetic number, because the mean of its divisors is an integer number (122402786688).

Almost surely, 2^{6135864267744} 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 6135864267744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8813000641536).

6135864267744 is an abundant number, since it is smaller than the sum of its proper divisors (11490137015328).

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

6135864267744 is a wasteful number, since it uses less digits than its factorization.

6135864267744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379269 (or 379258 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 63.

The spelling of 6135864267744 in words is "six trillion, one hundred thirty-five billion, eight hundred sixty-four million, two hundred sixty-seven thousand, seven hundred forty-four".