73875943440 has 720 divisors, whose sum is σ = 281479283280. Its totient is φ = 17338613760.

The previous prime is 73875943423. The next prime is 73875943459. The reversal of 73875943440 is 4434957837.

73875943440 is a `hidden beast` number, since 7 + 3 + 8 + 7 + 594 + 3 + 4 + 40 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 73862194176 + 13749264 = 271776^2 + 3708^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 274631626 + ... + 274631894.

It is an arithmetic number, because the mean of its divisors is an integer number (390943449).

Almost surely, 2^73875943440 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 73875943440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140739641640).

73875943440 is an abundant number, since it is smaller than the sum of its proper divisors (207603339840).

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

73875943440 is a wasteful number, since it uses less digits than its factorization.

73875943440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 73875943440 in words is "seventy-three billion, eight hundred seventy-five million, nine hundred forty-three thousand, four hundred forty".