73320919896 has 576 divisors, whose sum is σ = 246865449600. Its totient is φ = 17972140032.

The previous prime is 73320919831. The next prime is 73320919897. The reversal of 73320919896 is 69891902337.

It is a super-3 number, since 3×73320919896³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73320919897) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1094342055 + ... + 1094342121.

It is an arithmetic number, because the mean of its divisors is an integer number (428585850).

Almost surely, 2^73320919896 is an apocalyptic number.

73320919896 is a gapful number since it is divisible by the number (76) 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 73320919896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123432724800).

73320919896 is an abundant number, since it is smaller than the sum of its proper divisors (173544529704).

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

73320919896 is a wasteful number, since it uses less digits than its factorization.

73320919896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 57.

The spelling of 73320919896 in words is "seventy-three billion, three hundred twenty million, nine hundred nineteen thousand, eight hundred ninety-six".