6741182976 has 480 divisors, whose sum is σ = 21943595520. Its totient is φ = 1828823040.

The previous prime is 6741182963. The next prime is 6741183061. The reversal of 6741182976 is 6792811476.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

Its product of digits (1016064) is a multiple of the sum of its prime factors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81219031 + ... + 81219113.

It is an arithmetic number, because the mean of its divisors is an integer number (45715824).

Almost surely, 2^6741182976 is an apocalyptic number.

6741182976 is a gapful number since it is divisible by the number (66) 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 6741182976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10971797760).

6741182976 is an abundant number, since it is smaller than the sum of its proper divisors (15202412544).

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

6741182976 is a wasteful number, since it uses less digits than its factorization.

6741182976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 141 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 51.

The square root of 6741182976 is about 82104.7073924510. The cubic root of 6741182976 is about 1889.0583456205.

The spelling of 6741182976 in words is "six billion, seven hundred forty-one million, one hundred eighty-two thousand, nine hundred seventy-six".