73889141476608 has 432 divisors, whose sum is σ = 225076818657600. Its totient is φ = 24169025617920.

The previous prime is 73889141476559. The next prime is 73889141476643. The reversal of 73889141476608 is 80667414198837.

73889141476608 is a `hidden beast` number, since 7 + 3 + 8 + 8 + 9 + 1 + 4 + 1 + 4 + 7 + 6 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×73889141476608² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2088367078 + ... + 2088402458.

It is an arithmetic number, because the mean of its divisors is an integer number (521011154300).

Almost surely, 2^{73889141476608} 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 73889141476608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112538409328800).

73889141476608 is an abundant number, since it is smaller than the sum of its proper divisors (151187677180992).

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

73889141476608 is an equidigital number, since it uses as much as digits as its factorization.

73889141476608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36040 (or 36014 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 73889141476608 in words is "seventy-three trillion, eight hundred eighty-nine billion, one hundred forty-one million, four hundred seventy-six thousand, six hundred eight".