73810953216 has 1320 divisors, whose sum is σ = 303596891136. Its totient is φ = 17557585920.

The previous prime is 73810953197. The next prime is 73810953233. The reversal of 73810953216 is 61235901837.

73810953216 is a `hidden beast` number, since 7 + 3 + 8 + 109 + 532 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 581188545 + ... + 581188671.

Almost surely, 2^73810953216 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 73810953216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151798445568).

73810953216 is an abundant number, since it is smaller than the sum of its proper divisors (229785937920).

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

73810953216 is a wasteful number, since it uses less digits than its factorization.

73810953216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 73810953216 in words is "seventy-three billion, eight hundred ten million, nine hundred fifty-three thousand, two hundred sixteen".