73337613589968 has 720 divisors, whose sum is σ = 262126670676480. Its totient is φ = 17527070905344.

The previous prime is 73337613589907. The next prime is 73337613589969. The reversal of 73337613589968 is 86998531673337.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 73337613589893 and 73337613589902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73337613589969) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 173491155 + ... + 173913357.

It is an arithmetic number, because the mean of its divisors is an integer number (364064820384).

Almost surely, 2^{73337613589968} is an apocalyptic number.

73337613589968 is a gapful number since it is divisible by the number (78) 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 73337613589968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131063335338240).

73337613589968 is an abundant number, since it is smaller than the sum of its proper divisors (188789057086512).

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

73337613589968 is a wasteful number, since it uses less digits than its factorization.

73337613589968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422296 (or 422270 counting only the distinct ones).

The product of its digits is 3703553280, while the sum is 78.

The spelling of 73337613589968 in words is "seventy-three trillion, three hundred thirty-seven billion, six hundred thirteen million, five hundred eighty-nine thousand, nine hundred sixty-eight".