16327846080 has 896 divisors, whose sum is σ = 74693068800. Its totient is φ = 3260694528.

The previous prime is 16327846063. The next prime is 16327846091. The reversal of 16327846080 is 8064872361.

16327846080 is a `hidden beast` number, since 1 + 6 + 32 + 7 + 8 + 4 + 608 + 0 = 666.

It is a super-2 number, since 2×16327846080² (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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14938014 + ... + 14939106.

It is an arithmetic number, because the mean of its divisors is an integer number (83362800).

Almost surely, 2^16327846080 is an apocalyptic number.

16327846080 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 16327846080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37346534400).

16327846080 is an abundant number, since it is smaller than the sum of its proper divisors (58365222720).

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

16327846080 is a wasteful number, since it uses less digits than its factorization.

16327846080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 16327846080 in words is "sixteen billion, three hundred twenty-seven million, eight hundred forty-six thousand, eighty".