16980637440 has 288 divisors, whose sum is σ = 61480903680. Its totient is φ = 3959635968.

The previous prime is 16980637433. The next prime is 16980637447. The reversal of 16980637440 is 4473608961.

It is an interprime number because it is at equal distance from previous prime (16980637433) and next prime (16980637447).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 16980637440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16980637447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 939529 + ... + 957431.

It is an arithmetic number, because the mean of its divisors is an integer number (213475360).

Almost surely, 2^16980637440 is an apocalyptic number.

16980637440 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 16980637440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30740451840).

16980637440 is an abundant number, since it is smaller than the sum of its proper divisors (44500266240).

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

16980637440 is a wasteful number, since it uses less digits than its factorization.

16980637440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17959 (or 17945 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 16980637440 in words is "sixteen billion, nine hundred eighty million, six hundred thirty-seven thousand, four hundred forty".