7341745858560 has 576 divisors, whose sum is σ = 27031560978240. Its totient is φ = 1910021160960.

The previous prime is 7341745858549. The next prime is 7341745858561. The reversal of 7341745858560 is 658585471437.

It is a happy number.

7341745858560 is a `hidden beast` number, since 7 + 3 + 4 + 1 + 7 + 45 + 8 + 585 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (7341745858561) 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 47 ways as a sum of consecutive naturals, for example, 101985139 + ... + 102057101.

It is an arithmetic number, because the mean of its divisors is an integer number (46929793365).

Almost surely, 2^{7341745858560} 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 7341745858560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13515780489120).

7341745858560 is an abundant number, since it is smaller than the sum of its proper divisors (19689815119680).

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

7341745858560 is an equidigital number, since it uses as much as digits as its factorization.

7341745858560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72046 (or 72014 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 63.

The spelling of 7341745858560 in words is "seven trillion, three hundred forty-one billion, seven hundred forty-five million, eight hundred fifty-eight thousand, five hundred sixty".