73773740113920 has 2880 divisors, whose sum is σ = 336167903877120. Its totient is φ = 15020127682560.

The previous prime is 73773740113889. The next prime is 73773740113933. The reversal of 73773740113920 is 2931104737737.

It is a happy number.

73773740113920 is a `hidden beast` number, since 7 + 3 + 77 + 37 + 401 + 139 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 99291709069 + ... + 99291709811.

It is an arithmetic number, because the mean of its divisors is an integer number (116724966624).

Almost surely, 2^{73773740113920} is an apocalyptic number.

73773740113920 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 73773740113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168083951938560).

73773740113920 is an abundant number, since it is smaller than the sum of its proper divisors (262394163763200).

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

73773740113920 is a wasteful number, since it uses less digits than its factorization.

73773740113920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 4667544, while the sum is 54.

The spelling of 73773740113920 in words is "seventy-three trillion, seven hundred seventy-three billion, seven hundred forty million, one hundred thirteen thousand, nine hundred twenty".