16432260768 has 864 divisors, whose sum is σ = 63243887616. Its totient is φ = 3953664000.

The previous prime is 16432260701. The next prime is 16432260773. The reversal of 16432260768 is 86706223461.

16432260768 is a `hidden beast` number, since 1 + 6 + 4 + 32 + 2 + 607 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 310042630 + ... + 310042682.

It is an arithmetic number, because the mean of its divisors is an integer number (73198944).

Almost surely, 2^16432260768 is an apocalyptic number.

16432260768 is a gapful number since it is divisible by the number (18) 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 16432260768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31621943808).

16432260768 is an abundant number, since it is smaller than the sum of its proper divisors (46811626848).

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

16432260768 is a wasteful number, since it uses less digits than its factorization.

16432260768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 16432260768 in words is "sixteen billion, four hundred thirty-two million, two hundred sixty thousand, seven hundred sixty-eight".