73742719303680 has 240 divisors, whose sum is σ = 269679435244800. Its totient is φ = 16855478304768.

The previous prime is 73742719303619. The next prime is 73742719303681. The reversal of 73742719303680 is 8630391724737.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (73742719303681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19712530 + ... + 23153169.

It is an arithmetic number, because the mean of its divisors is an integer number (1123664313520).

Almost surely, 2^{73742719303680} is an apocalyptic number.

73742719303680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

73742719303680 is an abundant number, since it is smaller than the sum of its proper divisors (195936715941120).

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

73742719303680 is an equidigital number, since it uses as much as digits as its factorization.

73742719303680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42865742 (or 42865716 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 60.

The spelling of 73742719303680 in words is "seventy-three trillion, seven hundred forty-two billion, seven hundred nineteen million, three hundred three thousand, six hundred eighty".