1827655240464 has 375 divisors, whose sum is σ = 5741387979877. Its totient is φ = 561182418432.

The previous prime is 1827655240457. The next prime is 1827655240513. The reversal of 1827655240464 is 4640425567281.

The square root of 1827655240464 is 1351908.

It is a perfect power (a square), and thus also a powerful number.

1827655240464 is a `hidden beast` number, since 1 + 8 + 2 + 7 + 6 + 552 + 40 + 46 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1422914979600 + 404740260864 = 1192860^2 + 636192^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1827655240464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 38886281689 + ... + 38886281735.

Almost surely, 2^{1827655240464} is an apocalyptic number.

1827655240464 is the 1351908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1827655240464

1827655240464 is an abundant number, since it is smaller than the sum of its proper divisors (3913732739413).

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

1827655240464 is an frugal number, since it uses more digits than its factorization.

1827655240464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 1827655240464 in words is "one trillion, eight hundred twenty-seven billion, six hundred fifty-five million, two hundred forty thousand, four hundred sixty-four".