18202745761920 has 640 divisors, whose sum is σ = 65802984865200. Its totient is φ = 4794614415360.

The previous prime is 18202745761843. The next prime is 18202745761943. The reversal of 18202745761920 is 2916754720281.

18202745761920 is a `hidden beast` number, since 1 + 8 + 20 + 27 + 4 + 576 + 1 + 9 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 108884160576 + 18093861601344 = 329976^2 + 4253688^2 .

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7644999130 + ... + 7645001510.

Almost surely, 2^{18202745761920} is an apocalyptic number.

18202745761920 is a gapful number since it is divisible by the number (10) 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 18202745761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32901492432600).

18202745761920 is an abundant number, since it is smaller than the sum of its proper divisors (47600239103280).

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

18202745761920 is a wasteful number, since it uses less digits than its factorization.

18202745761920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4158 (or 4137 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 18202745761920 in words is "eighteen trillion, two hundred two billion, seven hundred forty-five million, seven hundred sixty-one thousand, nine hundred twenty".