73917941760 has 576 divisors, whose sum is σ = 279036576000. Its totient is φ = 17988452352.

The previous prime is 73917941683. The next prime is 73917941767. The reversal of 73917941760 is 6714971937.

73917941760 is a `hidden beast` number, since 73 + 91 + 79 + 417 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×73917941760² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 73917941697 and 73917941706.

It is not an unprimeable number, because it can be changed into a prime (73917941767) 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 47 ways as a sum of consecutive naturals, for example, 123401941 + ... + 123402539.

It is an arithmetic number, because the mean of its divisors is an integer number (484438500).

Almost surely, 2^73917941760 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 73917941760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139518288000).

73917941760 is an abundant number, since it is smaller than the sum of its proper divisors (205118634240).

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

73917941760 is a wasteful number, since it uses less digits than its factorization.

73917941760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The spelling of 73917941760 in words is "seventy-three billion, nine hundred seventeen million, nine hundred forty-one thousand, seven hundred sixty".