73796014080 has 312 divisors, whose sum is σ = 259443699840. Its totient is φ = 19398328320.

The previous prime is 73796014057. The next prime is 73796014081. The reversal of 73796014080 is 8041069737.

73796014080 is a `hidden beast` number, since 7 + 37 + 9 + 601 + 4 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73796014081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13083901 + ... + 13089539.

It is an arithmetic number, because the mean of its divisors is an integer number (831550320).

Almost surely, 2^73796014080 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 73796014080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129721849920).

73796014080 is an abundant number, since it is smaller than the sum of its proper divisors (185647685760).

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

73796014080 is a wasteful number, since it uses less digits than its factorization.

73796014080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5745 (or 5720 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 73796014080 in words is "seventy-three billion, seven hundred ninety-six million, fourteen thousand, eighty".