181379982500640 has 4608 divisors, whose sum is σ = 853600554713088. Its totient is φ = 34245603532800.

The previous prime is 181379982500537. The next prime is 181379982500641. The reversal of 181379982500640 is 46005289973181.

181379982500640 is a `hidden beast` number, since 1 + 8 + 1 + 3 + 7 + 9 + 9 + 82 + 500 + 6 + 40 = 666.

181379982500640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (181379982500641) 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, 640918665939 + ... + 640918666221.

It is an arithmetic number, because the mean of its divisors is an integer number (185243175936).

It is a 1-persistent number, because it is pandigital, but 2⋅181379982500640 = 362759965001280 is not.

Almost surely, 2^{181379982500640} is an apocalyptic number.

181379982500640 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 181379982500640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426800277356544).

181379982500640 is an abundant number, since it is smaller than the sum of its proper divisors (672220572212448).

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

181379982500640 is a wasteful number, since it uses less digits than its factorization.

181379982500640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 181379982500640 in words is "one hundred eighty-one trillion, three hundred seventy-nine billion, nine hundred eighty-two million, five hundred thousand, six hundred forty".