320016623040 has 1344 divisors, whose sum is σ = 1270913587200. Its totient is φ = 75682750464.

The previous prime is 320016623009. The next prime is 320016623041. The reversal of 320016623040 is 40326610023.

320016623040 is a `hidden beast` number, since 3 + 20 + 0 + 16 + 623 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 320016622995 and 320016623013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320016623041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5424010531 + ... + 5424010589.

Almost surely, 2^320016623040 is an apocalyptic number.

320016623040 is a gapful number since it is divisible by the number (30) 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 320016623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635456793600).

320016623040 is an abundant number, since it is smaller than the sum of its proper divisors (950896964160).

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

320016623040 is a wasteful number, since it uses less digits than its factorization.

320016623040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 320016623040 in words is "three hundred twenty billion, sixteen million, six hundred twenty-three thousand, forty".