17828074080 has 576 divisors, whose sum is σ = 68702437440. Its totient is φ = 4353564672.

The previous prime is 17828074079. The next prime is 17828074123. The reversal of 17828074080 is 8047082871.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 481839822 + ... + 481839858.

It is an arithmetic number, because the mean of its divisors is an integer number (119275065).

Almost surely, 2^17828074080 is an apocalyptic number.

17828074080 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 17828074080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34351218720).

17828074080 is an abundant number, since it is smaller than the sum of its proper divisors (50874363360).

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

17828074080 is an frugal number, since it uses more digits than its factorization.

17828074080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 17828074080 in words is "seventeen billion, eight hundred twenty-eight million, seventy-four thousand, eighty".