3260628172800 has 480 divisors, whose sum is σ = 12079682514900. Its totient is φ = 869483151360.

The previous prime is 3260628172783. The next prime is 3260628172811. The reversal of 3260628172800 is 82718260623.

3260628172800 is a `hidden beast` number, since 3 + 2 + 6 + 0 + 628 + 17 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 66330631 + ... + 66379769.

Almost surely, 2^{3260628172800} is an apocalyptic number.

3260628172800 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 3260628172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6039841257450).

3260628172800 is an abundant number, since it is smaller than the sum of its proper divisors (8819054342100).

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

3260628172800 is an frugal number, since it uses more digits than its factorization.

3260628172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49191 (or 49149 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 3260628172800 in words is "three trillion, two hundred sixty billion, six hundred twenty-eight million, one hundred seventy-two thousand, eight hundred".