18770979709440 has 1920 divisors, whose sum is σ = 80062999568640. Its totient is φ = 4206295941120.

The previous prime is 18770979709439. The next prime is 18770979709457. The reversal of 18770979709440 is 4490797907781.

It is a happy number.

18770979709440 is a `hidden beast` number, since 1 + 8 + 7 + 7 + 0 + 97 + 97 + 0 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×18770979709440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 191 ways as a sum of consecutive naturals, for example, 14539875195 + ... + 14539876485.

It is an arithmetic number, because the mean of its divisors is an integer number (41699478942).

Almost surely, 2^{18770979709440} is an apocalyptic number.

18770979709440 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 18770979709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40031499784320).

18770979709440 is an abundant number, since it is smaller than the sum of its proper divisors (61292019859200).

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

18770979709440 is an frugal number, since it uses more digits than its factorization.

18770979709440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 224042112, while the sum is 72.

The spelling of 18770979709440 in words is "eighteen trillion, seven hundred seventy billion, nine hundred seventy-nine million, seven hundred nine thousand, four hundred forty".