2118760366464 has 576 divisors, whose sum is σ = 7182938075040. Its totient is φ = 587028529152.

The previous prime is 2118760366451. The next prime is 2118760366501. The reversal of 2118760366464 is 4646630678112.

2118760366464 is a `hidden beast` number, since 2 + 1 + 187 + 60 + 366 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 2118760366464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4893210792 + ... + 4893211224.

Almost surely, 2^{2118760366464} is an apocalyptic number.

2118760366464 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 2118760366464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591469037520).

2118760366464 is an abundant number, since it is smaller than the sum of its proper divisors (5064177708576).

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

2118760366464 is a wasteful number, since it uses less digits than its factorization.

2118760366464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 605 counting only the distinct ones).

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

The spelling of 2118760366464 in words is "two trillion, one hundred eighteen billion, seven hundred sixty million, three hundred sixty-six thousand, four hundred sixty-four".