162768130276752 has 3840 divisors, whose sum is σ = 671405987266560. Its totient is φ = 35751438581760.

The previous prime is 162768130276711. The next prime is 162768130276753. The reversal of 162768130276752 is 257672031867261.

It is a happy number.

162768130276752 is a `hidden beast` number, since 1 + 6 + 276 + 8 + 1 + 302 + 7 + 6 + 7 + 52 = 666.

It is a super-2 number, since 2×162768130276752² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 162768130276752.

It is not an unprimeable number, because it can be changed into a prime (162768130276753) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1678021961568 + ... + 1678021961664.

It is an arithmetic number, because the mean of its divisors is an integer number (174845309184).

Almost surely, 2^{162768130276752} is an apocalyptic number.

162768130276752 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 162768130276752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335702993633280).

162768130276752 is an abundant number, since it is smaller than the sum of its proper divisors (508637856989808).

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

162768130276752 is a wasteful number, since it uses less digits than its factorization.

162768130276752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 162768130276752 in words is "one hundred sixty-two trillion, seven hundred sixty-eight billion, one hundred thirty million, two hundred seventy-six thousand, seven hundred fifty-two".