3320073312768 has 240 divisors, whose sum is σ = 10091042881920. Its totient is φ = 1047948115968.

The previous prime is 3320073312727. The next prime is 3320073312769. The reversal of 3320073312768 is 8672133700233.

3320073312768 is a `hidden beast` number, since 3 + 3 + 200 + 73 + 312 + 7 + 68 = 666.

It is a super-2 number, since 2×3320073312768² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3320073312769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214231996 + ... + 214247492.

It is an arithmetic number, because the mean of its divisors is an integer number (42046012008).

Almost surely, 2^{3320073312768} is an apocalyptic number.

3320073312768 is a gapful number since it is divisible by the number (38) 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 3320073312768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045521440960).

3320073312768 is an abundant number, since it is smaller than the sum of its proper divisors (6770969569152).

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

3320073312768 is a wasteful number, since it uses less digits than its factorization.

3320073312768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17987 (or 17968 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 3320073312768 in words is "three trillion, three hundred twenty billion, seventy-three million, three hundred twelve thousand, seven hundred sixty-eight".