17838049680 has 720 divisors, whose sum is σ = 73228955904. Its totient is φ = 3845283840.

The previous prime is 17838049673. The next prime is 17838049721. The reversal of 17838049680 is 8694083871.

17838049680 is a `hidden beast` number, since 1 + 78 + 3 + 8 + 0 + 496 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×17838049680² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48604857 + ... + 48605223.

Almost surely, 2^17838049680 is an apocalyptic number.

17838049680 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 17838049680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36614477952).

17838049680 is an abundant number, since it is smaller than the sum of its proper divisors (55390906224).

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

17838049680 is a wasteful number, since it uses less digits than its factorization.

17838049680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 17838049680 in words is "seventeen billion, eight hundred thirty-eight million, forty-nine thousand, six hundred eighty".