3263243143680 has 960 divisors, whose sum is σ = 13235867412768. Its totient is φ = 735534120960.

The previous prime is 3263243143669. The next prime is 3263243143733. The reversal of 3263243143680 is 863413423623.

3263243143680 is a `hidden beast` number, since 3 + 2 + 6 + 324 + 314 + 3 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 463859069184 + 2799384074496 = 681072^2 + 1673136^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188389420 + ... + 188406740.

Almost surely, 2^{3263243143680} is an apocalyptic number.

3263243143680 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 3263243143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6617933706384).

3263243143680 is an abundant number, since it is smaller than the sum of its proper divisors (9972624269088).

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

3263243143680 is a wasteful number, since it uses less digits than its factorization.

3263243143680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17417 (or 17398 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 3263243143680 in words is "three trillion, two hundred sixty-three billion, two hundred forty-three million, one hundred forty-three thousand, six hundred eighty".