17882126640 has 960 divisors, whose sum is σ = 76447488000. Its totient is φ = 3730987008.

The previous prime is 17882126623. The next prime is 17882126663. The reversal of 17882126640 is 4662128871.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 173612829 + ... + 173612931.

It is an arithmetic number, because the mean of its divisors is an integer number (79632800).

Almost surely, 2^17882126640 is an apocalyptic number.

17882126640 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 17882126640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38223744000).

17882126640 is an abundant number, since it is smaller than the sum of its proper divisors (58565361360).

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

17882126640 is a wasteful number, since it uses less digits than its factorization.

17882126640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 17882126640 in words is "seventeen billion, eight hundred eighty-two million, one hundred twenty-six thousand, six hundred forty".