2667630965760 has 704 divisors, whose sum is σ = 9587270246400. Its totient is φ = 703399624704.

The previous prime is 2667630965723. The next prime is 2667630965771. The reversal of 2667630965760 is 675690367662.

It is a happy number.

2667630965760 is a `hidden beast` number, since 26 + 6 + 7 + 6 + 30 + 9 + 6 + 576 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8689351527 + ... + 8689351833.

It is an arithmetic number, because the mean of its divisors is an integer number (13618281600).

Almost surely, 2^{2667630965760} is an apocalyptic number.

2667630965760 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 2667630965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4793635123200).

2667630965760 is an abundant number, since it is smaller than the sum of its proper divisors (6919639280640).

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

2667630965760 is a wasteful number, since it uses less digits than its factorization.

2667630965760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 63.

The spelling of 2667630965760 in words is "two trillion, six hundred sixty-seven billion, six hundred thirty million, nine hundred sixty-five thousand, seven hundred sixty".