3320753748480 has 1920 divisors, whose sum is σ = 14236985917440. Its totient is φ = 698959134720.

The previous prime is 3320753748401. The next prime is 3320753748569. The reversal of 3320753748480 is 848473570233.

3320753748480 is a `hidden beast` number, since 3 + 3 + 20 + 7 + 537 + 4 + 8 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×3320753748480² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17386145185 + ... + 17386145375.

It is an arithmetic number, because the mean of its divisors is an integer number (7415096832).

Almost surely, 2^{3320753748480} is an apocalyptic number.

3320753748480 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 3320753748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7118492958720).

3320753748480 is an abundant number, since it is smaller than the sum of its proper divisors (10916232168960).

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

3320753748480 is a wasteful number, since it uses less digits than its factorization.

3320753748480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 3320753748480 in words is "three trillion, three hundred twenty billion, seven hundred fifty-three million, seven hundred forty-eight thousand, four hundred eighty".