17822672640 has 216 divisors, whose sum is σ = 61780537728. Its totient is φ = 4743782400.

The previous prime is 17822672633. The next prime is 17822672641. The reversal of 17822672640 is 4627622871.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17822672641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8074417 + ... + 8076623.

It is an arithmetic number, because the mean of its divisors is an integer number (286021008).

Almost surely, 2^17822672640 is an apocalyptic number.

17822672640 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 17822672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30890268864).

17822672640 is an abundant number, since it is smaller than the sum of its proper divisors (43957865088).

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

17822672640 is a wasteful number, since it uses less digits than its factorization.

17822672640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2918 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 17822672640 in words is "seventeen billion, eight hundred twenty-two million, six hundred seventy-two thousand, six hundred forty".