1880368680960 has 1872 divisors, whose sum is σ = 8589794496192. Its totient is φ = 390168576000.

The previous prime is 1880368680937. The next prime is 1880368680979. The reversal of 1880368680960 is 690868630881.

1880368680960 is a `hidden beast` number, since 188 + 0 + 368 + 6 + 8 + 0 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 143 ways as a sum of consecutive naturals, for example, 2682408610 + ... + 2682409310.

It is an arithmetic number, because the mean of its divisors is an integer number (4588565436).

Almost surely, 2^{1880368680960} is an apocalyptic number.

1880368680960 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 1880368680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4294897248096).

1880368680960 is an abundant number, since it is smaller than the sum of its proper divisors (6709425815232).

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

1880368680960 is an equidigital number, since it uses as much as digits as its factorization.

1880368680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 1880368680960 in words is "one trillion, eight hundred eighty billion, three hundred sixty-eight million, six hundred eighty thousand, nine hundred sixty".