2904672466080 has 1728 divisors, whose sum is σ = 13779746023680. Its totient is φ = 548403609600.

The previous prime is 2904672465997. The next prime is 2904672466133. The reversal of 2904672466080 is 806642764092.

2904672466080 is a `hidden beast` number, since 2 + 9 + 0 + 4 + 6 + 7 + 24 + 6 + 608 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 382643085 + ... + 382650675.

It is an arithmetic number, because the mean of its divisors is an integer number (7974390060).

Almost surely, 2^{2904672466080} is an apocalyptic number.

2904672466080 is a gapful number since it is divisible by the number (20) 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 2904672466080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6889873011840).

2904672466080 is an abundant number, since it is smaller than the sum of its proper divisors (10875073557600).

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

2904672466080 is a wasteful number, since it uses less digits than its factorization.

2904672466080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7683 (or 7665 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 2904672466080 in words is "two trillion, nine hundred four billion, six hundred seventy-two million, four hundred sixty-six thousand, eighty".