2664401061168 has 640 divisors, whose sum is σ = 10071583948800. Its totient is φ = 654142003200.

The previous prime is 2664401061163. The next prime is 2664401061229. The reversal of 2664401061168 is 8611601044662.

2664401061168 is a `hidden beast` number, since 26 + 6 + 4 + 4 + 0 + 1 + 0 + 611 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (2664401061163) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44310868 + ... + 44370956.

It is an arithmetic number, because the mean of its divisors is an integer number (15736849920).

Almost surely, 2^{2664401061168} is an apocalyptic number.

2664401061168 is a gapful number since it is divisible by the number (28) 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 2664401061168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5035791974400).

2664401061168 is an abundant number, since it is smaller than the sum of its proper divisors (7407182887632).

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

2664401061168 is a wasteful number, since it uses less digits than its factorization.

2664401061168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60198 (or 60186 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 2664401061168 in words is "two trillion, six hundred sixty-four billion, four hundred one million, sixty-one thousand, one hundred sixty-eight".