1768630609152 has 720 divisors, whose sum is σ = 6119915643072. Its totient is φ = 504153538560.

The previous prime is 1768630609133. The next prime is 1768630609289. The reversal of 1768630609152 is 2519060368671.

1768630609152 is a `hidden beast` number, since 17 + 6 + 8 + 6 + 3 + 0 + 609 + 15 + 2 = 666.

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

It is a congruent number.

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, 942263638 + ... + 942265514.

Almost surely, 2^{1768630609152} is an apocalyptic number.

1768630609152 is a gapful number since it is divisible by the number (12) 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 1768630609152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059957821536).

1768630609152 is an abundant number, since it is smaller than the sum of its proper divisors (4351285033920).

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

1768630609152 is an frugal number, since it uses more digits than its factorization.

1768630609152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1768630609152 in words is "one trillion, seven hundred sixty-eight billion, six hundred thirty million, six hundred nine thousand, one hundred fifty-two".