16337280960 has 896 divisors, whose sum is σ = 77424076800. Its totient is φ = 3131965440.

The previous prime is 16337280941. The next prime is 16337280977. The reversal of 16337280960 is 6908273361.

16337280960 is a `hidden beast` number, since 1 + 633 + 7 + 2 + 8 + 0 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 8647696 + ... + 8649584.

It is an arithmetic number, because the mean of its divisors is an integer number (86410800).

Almost surely, 2^16337280960 is an apocalyptic number.

16337280960 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 16337280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38712038400).

16337280960 is an abundant number, since it is smaller than the sum of its proper divisors (61086795840).

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

16337280960 is a wasteful number, since it uses less digits than its factorization.

16337280960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 16337280960 in words is "sixteen billion, three hundred thirty-seven million, two hundred eighty thousand, nine hundred sixty".