73984261120 has 1056 divisors, whose sum is σ = 254042853120. Its totient is φ = 20313538560.

The previous prime is 73984261081. The next prime is 73984261121. The reversal of 73984261120 is 2116248937.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73984261121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 891376599 + ... + 891376681.

Almost surely, 2^73984261120 is an apocalyptic number.

73984261120 is a gapful number since it is divisible by the number (70) 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 73984261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127021426560).

73984261120 is an abundant number, since it is smaller than the sum of its proper divisors (180058592000).

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

73984261120 is a wasteful number, since it uses less digits than its factorization.

73984261120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 73984261120 in words is "seventy-three billion, nine hundred eighty-four million, two hundred sixty-one thousand, one hundred twenty".