3266634505680 has 960 divisors, whose sum is σ = 13811616000000. Its totient is φ = 687525801984.

The previous prime is 3266634505649. The next prime is 3266634505847. The reversal of 3266634505680 is 865054366623.

It is a congruent number.

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, 1634133321 + ... + 1634135319.

It is an arithmetic number, because the mean of its divisors is an integer number (14387100000).

Almost surely, 2^{3266634505680} is an apocalyptic number.

3266634505680 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 3266634505680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6905808000000).

3266634505680 is an abundant number, since it is smaller than the sum of its proper divisors (10544981494320).

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

3266634505680 is a wasteful number, since it uses less digits than its factorization.

3266634505680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 3266634505680 in words is "three trillion, two hundred sixty-six billion, six hundred thirty-four million, five hundred five thousand, six hundred eighty".