73203099331968 has 1024 divisors, whose sum is σ = 236295843840000. Its totient is φ = 22250040164352.

The previous prime is 73203099331927. The next prime is 73203099331993. The reversal of 73203099331968 is 86913399030237.

73203099331968 is a `hidden beast` number, since 7 + 3 + 2 + 0 + 309 + 9 + 3 + 319 + 6 + 8 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 24907483843 + ... + 24907486781.

It is an arithmetic number, because the mean of its divisors is an integer number (230757660000).

Almost surely, 2^{73203099331968} 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 73203099331968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118147921920000).

73203099331968 is an abundant number, since it is smaller than the sum of its proper divisors (163092744508032).

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

73203099331968 is a wasteful number, since it uses less digits than its factorization.

73203099331968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204 (or 3186 counting only the distinct ones).

The product of its (nonzero) digits is 39680928, while the sum is 63.

The spelling of 73203099331968 in words is "seventy-three trillion, two hundred three billion, ninety-nine million, three hundred thirty-one thousand, nine hundred sixty-eight".