18676073328120 has 896 divisors, whose sum is σ = 69281562893760. Its totient is φ = 4500534804480.

The previous prime is 18676073328113. The next prime is 18676073328131. The reversal of 18676073328120 is 2182337067681.

It is a happy number.

18676073328120 is a `hidden beast` number, since 1 + 8 + 6 + 7 + 607 + 3 + 3 + 2 + 8 + 1 + 20 = 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 223 ways as a sum of consecutive naturals, for example, 13722316240 + ... + 13722317600.

Almost surely, 2^{18676073328120} is an apocalyptic number.

18676073328120 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 18676073328120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34640781446880).

18676073328120 is an abundant number, since it is smaller than the sum of its proper divisors (50605489565640).

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

18676073328120 is a wasteful number, since it uses less digits than its factorization.

18676073328120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 18676073328120 in words is "eighteen trillion, six hundred seventy-six billion, seventy-three million, three hundred twenty-eight thousand, one hundred twenty".