73754222245704 has 2304 divisors, whose sum is σ = 306818280518400. Its totient is φ = 16191020482560.

The previous prime is 73754222245703. The next prime is 73754222245763. The reversal of 73754222245704 is 40754222245737.

73754222245704 is a `hidden beast` number, since 7 + 3 + 7 + 5 + 42 + 2 + 2 + 24 + 570 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (73754222245703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 10471986007 + ... + 10471993049.

It is an arithmetic number, because the mean of its divisors is an integer number (133167656475).

Almost surely, 2^{73754222245704} is an apocalyptic number.

73754222245704 is a gapful number since it is divisible by the number (74) 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 73754222245704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153409140259200).

73754222245704 is an abundant number, since it is smaller than the sum of its proper divisors (233064058272696).

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

73754222245704 is a wasteful number, since it uses less digits than its factorization.

73754222245704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7161 (or 7133 counting only the distinct ones).

The product of its (nonzero) digits is 26342400, while the sum is 54.

The spelling of 73754222245704 in words is "seventy-three trillion, seven hundred fifty-four billion, two hundred twenty-two million, two hundred forty-five thousand, seven hundred four".