320106675735000 has 2560 divisors, whose sum is σ = 1473546874060800. Its totient is φ = 62314583040000.

The previous prime is 320106675734981. The next prime is 320106675735037. The reversal of 320106675735000 is 537576601023.

320106675735000 is a `hidden beast` number, since 3 + 2 + 0 + 1 + 0 + 6 + 6 + 75 + 73 + 500 + 0 = 666.

It is a super-2 number, since 2×320106675735000² (a number of 30 digits) contains 22 as substring.

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 polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 39407440939 + ... + 39407449061.

It is an arithmetic number, because the mean of its divisors is an integer number (575604247680).

Almost surely, 2^{320106675735000} is an apocalyptic number.

320106675735000 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 320106675735000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736773437030400).

320106675735000 is an abundant number, since it is smaller than the sum of its proper divisors (1153440198325800).

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

320106675735000 is a wasteful number, since it uses less digits than its factorization.

320106675735000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8416 (or 8391 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 320106675735000 in words is "three hundred twenty trillion, one hundred six billion, six hundred seventy-five million, seven hundred thirty-five thousand".