16667742240 has 288 divisors, whose sum is σ = 58663725120. Its totient is φ = 4306286592.

The previous prime is 16667742227. The next prime is 16667742269. The reversal of 16667742240 is 4224776661.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 16356451 + ... + 16357469.

It is an arithmetic number, because the mean of its divisors is an integer number (203693490).

Almost surely, 2^16667742240 is an apocalyptic number.

16667742240 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 16667742240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29331862560).

16667742240 is an abundant number, since it is smaller than the sum of its proper divisors (41995982880).

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

16667742240 is a wasteful number, since it uses less digits than its factorization.

16667742240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 16667742240 in words is "sixteen billion, six hundred sixty-seven million, seven hundred forty-two thousand, two hundred forty".