320212797840 has 480 divisors, whose sum is σ = 1191113763840. Its totient is φ = 76590489600.

The previous prime is 320212797833. The next prime is 320212797847. The reversal of 320212797840 is 48797212023.

320212797840 is a `hidden beast` number, since 320 + 212 + 7 + 9 + 78 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (320212797833) and next prime (320212797847).

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

It is not an unprimeable number, because it can be changed into a prime (320212797847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103997421 + ... + 104000499.

It is an arithmetic number, because the mean of its divisors is an integer number (2481487008).

Almost surely, 2^320212797840 is an apocalyptic number.

320212797840 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 320212797840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595556881920).

320212797840 is an abundant number, since it is smaller than the sum of its proper divisors (870900966000).

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

320212797840 is a wasteful number, since it uses less digits than its factorization.

320212797840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3423 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 320212797840 in words is "three hundred twenty billion, two hundred twelve million, seven hundred ninety-seven thousand, eight hundred forty".