6136875781344 has 1296 divisors, whose sum is σ = 23315034847104. Its totient is φ = 1498549662720.

The previous prime is 6136875781217. The next prime is 6136875781409. The reversal of 6136875781344 is 4431875786316.

6136875781344 is a `hidden beast` number, since 6 + 1 + 3 + 6 + 8 + 7 + 578 + 13 + 44 = 666.

It is a super-2 number, since 2×6136875781344² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (81285120) is a multiple of the sum of its prime divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 19989823239 + ... + 19989823545.

It is an arithmetic number, because the mean of its divisors is an integer number (17989996024).

Almost surely, 2^{6136875781344} 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 6136875781344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11657517423552).

6136875781344 is an abundant number, since it is smaller than the sum of its proper divisors (17178159065760).

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

6136875781344 is a wasteful number, since it uses less digits than its factorization.

6136875781344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 576 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 6136875781344 in words is "six trillion, one hundred thirty-six billion, eight hundred seventy-five million, seven hundred eighty-one thousand, three hundred forty-four".