6134582467920 has 320 divisors, whose sum is σ = 20363873771520. Its totient is φ = 1524681252864.

The previous prime is 6134582467913. The next prime is 6134582467921. The reversal of 6134582467920 is 297642854316.

It is a super-2 number, since 2×6134582467920² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6134582467921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32611254 + ... + 32798826.

It is an arithmetic number, because the mean of its divisors is an integer number (63637105536).

It is a 1-persistent number, because it is pandigital, but 2⋅6134582467920 = 12269164935840 is not.

Almost surely, 2^{6134582467920} is an apocalyptic number.

6134582467920 is a gapful number since it is divisible by the number (60) 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 6134582467920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10181936885760).

6134582467920 is an abundant number, since it is smaller than the sum of its proper divisors (14229291303600).

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

6134582467920 is a wasteful number, since it uses less digits than its factorization.

6134582467920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187782 (or 187776 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 6134582467920 in words is "six trillion, one hundred thirty-four billion, five hundred eighty-two million, four hundred sixty-seven thousand, nine hundred twenty".