73260007358468 has 192 divisors, whose sum is σ = 163653483840000. Its totient is φ = 27988986654720.

The previous prime is 73260007358467. The next prime is 73260007358507. The reversal of 73260007358468 is 86485370006237.

It is not an unprimeable number, because it can be changed into a prime (73260007358467) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102223688 + ... + 102937856.

It is an arithmetic number, because the mean of its divisors is an integer number (852361895000).

Almost surely, 2^{73260007358468} 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 73260007358468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81826741920000).

73260007358468 is an abundant number, since it is smaller than the sum of its proper divisors (90393476481532).

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

73260007358468 is a wasteful number, since it uses less digits than its factorization.

73260007358468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714398 (or 714396 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 59.

The spelling of 73260007358468 in words is "seventy-three trillion, two hundred sixty billion, seven million, three hundred fifty-eight thousand, four hundred sixty-eight".