16973824320 has 448 divisors, whose sum is σ = 62423040000. Its totient is φ = 4337141760.

The previous prime is 16973824319. The next prime is 16973824321. The reversal of 16973824320 is 2342837961.

It is an interprime number because it is at equal distance from previous prime (16973824319) and next prime (16973824321).

It is a super-2 number, since 2×16973824320² (a number of 21 digits) contains 22 as substring.

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 (16973824321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34015431 + ... + 34015929.

Almost surely, 2^16973824320 is an apocalyptic number.

16973824320 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 16973824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31211520000).

16973824320 is an abundant number, since it is smaller than the sum of its proper divisors (45449215680).

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

16973824320 is a wasteful number, since it uses less digits than its factorization.

16973824320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 16973824320 in words is "sixteen billion, nine hundred seventy-three million, eight hundred twenty-four thousand, three hundred twenty".