73243347840000 has 2640 divisors, whose sum is σ = 297202956610560. Its totient is φ = 17245716480000.

The previous prime is 73243347839993. The next prime is 73243347840071. The reversal of 73243347840000 is 4874334237.

It is a super-2 number, since 2×73243347840000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 322657919887 + ... + 322657920113.

It is an arithmetic number, because the mean of its divisors is an integer number (112576877504).

Almost surely, 2^{73243347840000} 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 73243347840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148601478305280).

73243347840000 is an abundant number, since it is smaller than the sum of its proper divisors (223959608770560).

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

73243347840000 is a wasteful number, since it uses less digits than its factorization.

73243347840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 73243347840000 in words is "seventy-three trillion, two hundred forty-three billion, three hundred forty-seven million, eight hundred forty thousand".