3316576256640 has 768 divisors, whose sum is σ = 12233973024000. Its totient is φ = 826140327936.

The previous prime is 3316576256573. The next prime is 3316576256647. The reversal of 3316576256640 is 466526756133.

3316576256640 is a `hidden beast` number, since 3 + 3 + 1 + 6 + 5 + 7 + 625 + 6 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×3316576256640² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3316576256647) 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, 978628066 + ... + 978631454.

It is an arithmetic number, because the mean of its divisors is an integer number (15929652375).

Almost surely, 2^{3316576256640} is an apocalyptic number.

3316576256640 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 3316576256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6116986512000).

3316576256640 is an abundant number, since it is smaller than the sum of its proper divisors (8917396767360).

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

3316576256640 is a wasteful number, since it uses less digits than its factorization.

3316576256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 3316576256640 in words is "three trillion, three hundred sixteen billion, five hundred seventy-six million, two hundred fifty-six thousand, six hundred forty".