2721278333664 has 1152 divisors, whose sum is σ = 9601985433600. Its totient is φ = 746421350400.

The previous prime is 2721278333621. The next prime is 2721278333731. The reversal of 2721278333664 is 4663338721272.

2721278333664 is a `hidden beast` number, since 2 + 7 + 2 + 1 + 278 + 3 + 3 + 366 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2721278333664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4483160049 + ... + 4483160655.

It is an arithmetic number, because the mean of its divisors is an integer number (8335056800).

Almost surely, 2^{2721278333664} is an apocalyptic number.

2721278333664 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 2721278333664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4800992716800).

2721278333664 is an abundant number, since it is smaller than the sum of its proper divisors (6880707099936).

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

2721278333664 is a wasteful number, since it uses less digits than its factorization.

2721278333664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 740 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 54.

The spelling of 2721278333664 in words is "two trillion, seven hundred twenty-one billion, two hundred seventy-eight million, three hundred thirty-three thousand, six hundred sixty-four".