180068676480 has 1152 divisors, whose sum is σ = 810626019840. Its totient is φ = 37389496320.

The previous prime is 180068676461. The next prime is 180068676511. The reversal of 180068676480 is 84676860081.

180068676480 is a `hidden beast` number, since 1 + 80 + 0 + 6 + 86 + 7 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 131724757 + ... + 131726123.

It is an arithmetic number, because the mean of its divisors is an integer number (703668420).

Almost surely, 2^180068676480 is an apocalyptic number.

180068676480 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 180068676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405313009920).

180068676480 is an abundant number, since it is smaller than the sum of its proper divisors (630557343360).

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

180068676480 is a wasteful number, since it uses less digits than its factorization.

180068676480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 180068676480 in words is "one hundred eighty billion, sixty-eight million, six hundred seventy-six thousand, four hundred eighty".