16736440320 has 728 divisors, whose sum is σ = 64459893600. Its totient is φ = 4156489728.

The previous prime is 16736440309. The next prime is 16736440373. The reversal of 16736440320 is 2304463761.

It is a happy number.

16736440320 is a `hidden beast` number, since 1 + 6 + 7 + 3 + 644 + 0 + 3 + 2 + 0 = 666.

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

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 55 ways as a sum of consecutive naturals, for example, 283668451 + ... + 283668509.

Almost surely, 2^16736440320 is an apocalyptic number.

16736440320 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 16736440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32229946800).

16736440320 is an abundant number, since it is smaller than the sum of its proper divisors (47723453280).

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

16736440320 is an frugal number, since it uses more digits than its factorization.

16736440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 16736440320 in words is "sixteen billion, seven hundred thirty-six million, four hundred forty thousand, three hundred twenty".