6001178976 has 384 divisors, whose sum is σ = 20369543040. Its totient is φ = 1702232064.

The previous prime is 6001178951. The next prime is 6001178977. The reversal of 6001178976 is 6798711006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6001178977) 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, 10119736 + ... + 10120328.

It is an arithmetic number, because the mean of its divisors is an integer number (53045685).

Almost surely, 2^6001178976 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 6001178976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10184771520).

6001178976 is an abundant number, since it is smaller than the sum of its proper divisors (14368364064).

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

6001178976 is a wasteful number, since it uses less digits than its factorization.

6001178976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 6001178976 is about 77467.2768076947. The cubic root of 6001178976 is about 1817.2396040134.

The spelling of 6001178976 in words is "six billion, one million, one hundred seventy-eight thousand, nine hundred seventy-six".