618548071680 has 576 divisors, whose sum is σ = 2736618393600. Its totient is φ = 128528916480.

The previous prime is 618548071651. The next prime is 618548071699. The reversal of 618548071680 is 86170845816.

It is a happy number.

618548071680 is a `hidden beast` number, since 6 + 1 + 8 + 548 + 0 + 7 + 16 + 80 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2544901 + ... + 2777339.

It is an arithmetic number, because the mean of its divisors is an integer number (4751073600).

Almost surely, 2^618548071680 is an apocalyptic number.

618548071680 is a gapful number since it is divisible by the number (60) 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 618548071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368309196800).

618548071680 is an abundant number, since it is smaller than the sum of its proper divisors (2118070321920).

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

618548071680 is a wasteful number, since it uses less digits than its factorization.

618548071680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232487 (or 232467 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 618548071680 in words is "six hundred eighteen billion, five hundred forty-eight million, seventy-one thousand, six hundred eighty".