6745621962240 has 960 divisors, whose sum is σ = 27281183035392. Its totient is φ = 1508430643200.

The previous prime is 6745621962227. The next prime is 6745621962241. The reversal of 6745621962240 is 422691265476.

6745621962240 is a `hidden beast` number, since 6 + 7 + 4 + 5 + 6 + 2 + 1 + 9 + 622 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6745621962241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3684118125 + ... + 3684119955.

Almost surely, 2^{6745621962240} is an apocalyptic number.

6745621962240 is a gapful number since it is divisible by the number (60) 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 6745621962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13640591517696).

6745621962240 is an abundant number, since it is smaller than the sum of its proper divisors (20535561073152).

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

6745621962240 is a wasteful number, since it uses less digits than its factorization.

6745621962240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 6745621962240 in words is "six trillion, seven hundred forty-five billion, six hundred twenty-one million, nine hundred sixty-two thousand, two hundred forty".