180406308640 has 96 divisors (see below), whose sum is σ = 432257575680. Its totient is φ = 71141351424.

The previous prime is 180406308637. The next prime is 180406308647. The reversal of 180406308640 is 46803604081.

It is a super-2 number, since 2×180406308640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 180406308593 and 180406308602.

It is not an unprimeable number, because it can be changed into a prime (180406308647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8622672 + ... + 8643568.

It is an arithmetic number, because the mean of its divisors is an integer number (4502683080).

Almost surely, 2^180406308640 is an apocalyptic number.

180406308640 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 180406308640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216128787840).

180406308640 is an abundant number, since it is smaller than the sum of its proper divisors (251851267040).

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

180406308640 is a wasteful number, since it uses less digits than its factorization.

180406308640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21674 (or 21666 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 180406308640 in words is "one hundred eighty billion, four hundred six million, three hundred eight thousand, six hundred forty".