73063002257280 has 768 divisors, whose sum is σ = 301170539577600. Its totient is φ = 16691325751296.

The previous prime is 73063002257239. The next prime is 73063002257293. The reversal of 73063002257280 is 8275220036037.

73063002257280 is a `hidden beast` number, since 7 + 3 + 0 + 630 + 0 + 2 + 2 + 5 + 7 + 2 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1682410927 + ... + 1682454353.

It is an arithmetic number, because the mean of its divisors is an integer number (392149140075).

Almost surely, 2^{73063002257280} is an apocalyptic number.

73063002257280 is a gapful number since it is divisible by the number (70) 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 73063002257280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150585269788800).

73063002257280 is an abundant number, since it is smaller than the sum of its proper divisors (228107537320320).

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

73063002257280 is a wasteful number, since it uses less digits than its factorization.

73063002257280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45456 (or 45431 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 73063002257280 in words is "seventy-three trillion, sixty-three billion, two million, two hundred fifty-seven thousand, two hundred eighty".