18876732376320 has 3888 divisors, whose sum is σ = 88231661062272. Its totient is φ = 3782405652480.

The previous prime is 18876732376199. The next prime is 18876732376331. The reversal of 18876732376320 is 2367323767881.

It is a happy number.

18876732376320 is a `hidden beast` number, since 1 + 8 + 8 + 7 + 6 + 73 + 237 + 6 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a super-4 number, since 4×18876732376320⁴ (a number of 54 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 309454629090 + ... + 309454629150.

Almost surely, 2^{18876732376320} is an apocalyptic number.

18876732376320 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 18876732376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44115830531136).

18876732376320 is an abundant number, since it is smaller than the sum of its proper divisors (69354928685952).

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

18876732376320 is an equidigital number, since it uses as much as digits as its factorization.

18876732376320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 18876732376320 in words is "eighteen trillion, eight hundred seventy-six billion, seven hundred thirty-two million, three hundred seventy-six thousand, three hundred twenty".