2664637364664 has 384 divisors, whose sum is σ = 8618132090880. Its totient is φ = 734510592000.

The previous prime is 2664637364659. The next prime is 2664637364693. The reversal of 2664637364664 is 4664637364662.

2664637364664 is a `hidden beast` number, since 2 + 6 + 6 + 463 + 73 + 6 + 46 + 64 = 666.

2664637364664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75205657 + ... + 75241079.

It is an arithmetic number, because the mean of its divisors is an integer number (22443052320).

Almost surely, 2^{2664637364664} is an apocalyptic number.

2664637364664 is a gapful number since it is divisible by the number (24) 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 2664637364664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4309066045440).

2664637364664 is an abundant number, since it is smaller than the sum of its proper divisors (5953494726216).

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

2664637364664 is a wasteful number, since it uses less digits than its factorization.

2664637364664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35651 (or 35644 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 63.

The spelling of 2664637364664 in words is "two trillion, six hundred sixty-four billion, six hundred thirty-seven million, three hundred sixty-four thousand, six hundred sixty-four".