17680680000 has 840 divisors, whose sum is σ = 70186308192. Its totient is φ = 4396032000.

The previous prime is 17680679969. The next prime is 17680680011. The reversal of 17680680000 is 8608671.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 165239947 + ... + 165240053.

Almost surely, 2^17680680000 is an apocalyptic number.

17680680000 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 17680680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35093154096).

17680680000 is an abundant number, since it is smaller than the sum of its proper divisors (52505628192).

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

17680680000 is an equidigital number, since it uses as much as digits as its factorization.

17680680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 17680680000 in words is "seventeen billion, six hundred eighty million, six hundred eighty thousand".