73115965440 has 960 divisors, whose sum is σ = 306810504000. Its totient is φ = 16647192576.

The previous prime is 73115965421. The next prime is 73115965441. The reversal of 73115965440 is 4456951137.

73115965440 is a `hidden beast` number, since 7 + 3 + 1 + 1 + 596 + 54 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 (73115965441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 284497792 + ... + 284498048.

It is an arithmetic number, because the mean of its divisors is an integer number (319594275).

Almost surely, 2^73115965440 is an apocalyptic number.

73115965440 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 73115965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153405252000).

73115965440 is an abundant number, since it is smaller than the sum of its proper divisors (233694538560).

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

73115965440 is an equidigital number, since it uses as much as digits as its factorization.

73115965440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 73115965440 in words is "seventy-three billion, one hundred fifteen million, nine hundred sixty-five thousand, four hundred forty".