3242767540960 has 96 divisors (see below), whose sum is σ = 8074079546400. Its totient is φ = 1227340523520.

The previous prime is 3242767540939. The next prime is 3242767540967. The reversal of 3242767540960 is 690457672423.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3242767540967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1846206 + ... + 3145474.

It is an arithmetic number, because the mean of its divisors is an integer number (84104995275).

Almost surely, 2^{3242767540960} 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 3242767540960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4037039773200).

3242767540960 is an abundant number, since it is smaller than the sum of its proper divisors (4831312005440).

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

3242767540960 is a wasteful number, since it uses less digits than its factorization.

3242767540960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300124 (or 1300116 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 55.

The spelling of 3242767540960 in words is "three trillion, two hundred forty-two billion, seven hundred sixty-seven million, five hundred forty thousand, nine hundred sixty".