2018760360960 has 1408 divisors, whose sum is σ = 7939870848000. Its totient is φ = 436988805120.

The previous prime is 2018760360937. The next prime is 2018760360971. The reversal of 2018760360960 is 690630678102.

It is a super-3 number, since 3×2018760360960³ (a number of 38 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11153372070 + ... + 11153372250.

Almost surely, 2^{2018760360960} is an apocalyptic number.

2018760360960 is a gapful number since it is divisible by the number (20) 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 2018760360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3969935424000).

2018760360960 is an abundant number, since it is smaller than the sum of its proper divisors (5921110487040).

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

2018760360960 is a wasteful number, since it uses less digits than its factorization.

2018760360960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 2018760360960 in words is "two trillion, eighteen billion, seven hundred sixty million, three hundred sixty thousand, nine hundred sixty".