3227006273664 has 256 divisors, whose sum is σ = 9065505571200. Its totient is φ = 1014252503040.

The previous prime is 3227006273609. The next prime is 3227006273669. The reversal of 3227006273664 is 4663726007223.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3227006273669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2608735254 + ... + 2608736490.

Almost surely, 2^{3227006273664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3227006273664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4532752785600).

3227006273664 is an abundant number, since it is smaller than the sum of its proper divisors (5838499297536).

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

3227006273664 is a wasteful number, since it uses less digits than its factorization.

3227006273664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 48.

The spelling of 3227006273664 in words is "three trillion, two hundred twenty-seven billion, six million, two hundred seventy-three thousand, six hundred sixty-four".