16008007680 has 624 divisors, whose sum is σ = 66854286720. Its totient is φ = 3461087232.

The previous prime is 16008007649. The next prime is 16008007681. The reversal of 16008007680 is 8670080061.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16008007681) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 24514234 + ... + 24514886.

It is an arithmetic number, because the mean of its divisors is an integer number (107138280).

Almost surely, 2^16008007680 is an apocalyptic number.

16008007680 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 16008007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33427143360).

16008007680 is an abundant number, since it is smaller than the sum of its proper divisors (50846279040).

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

16008007680 is a wasteful number, since it uses less digits than its factorization.

16008007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 689 counting only the distinct ones).

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

The spelling of 16008007680 in words is "sixteen billion, eight million, seven thousand, six hundred eighty".