1768422048120 has 1152 divisors, whose sum is σ = 7869991933440. Its totient is φ = 339818250240.

The previous prime is 1768422048091. The next prime is 1768422048131. The reversal of 1768422048120 is 218402248671.

1768422048120 is a `hidden beast` number, since 1 + 7 + 68 + 422 + 0 + 48 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 120844324 + ... + 120858956.

It is an arithmetic number, because the mean of its divisors is an integer number (6831590220).

Almost surely, 2^{1768422048120} is an apocalyptic number.

1768422048120 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 1768422048120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934995966720).

1768422048120 is an abundant number, since it is smaller than the sum of its proper divisors (6101569885320).

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

1768422048120 is a wasteful number, since it uses less digits than its factorization.

1768422048120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14725 (or 14711 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 1768422048120 in words is "one trillion, seven hundred sixty-eight billion, four hundred twenty-two million, forty-eight thousand, one hundred twenty".