8073404340480 has 1728 divisors, whose sum is σ = 31820076288000. Its totient is φ = 1880240947200.

The previous prime is 8073404340431. The next prime is 8073404340497. The reversal of 8073404340480 is 840434043708.

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 191 ways as a sum of consecutive naturals, for example, 17512807450 + ... + 17512807910.

It is an arithmetic number, because the mean of its divisors is an integer number (18414396000).

Almost surely, 2^{8073404340480} is an apocalyptic number.

8073404340480 is a gapful number since it is divisible by the number (80) 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 8073404340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15910038144000).

8073404340480 is an abundant number, since it is smaller than the sum of its proper divisors (23746671947520).

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

8073404340480 is a wasteful number, since it uses less digits than its factorization.

8073404340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 8073404340480 in words is "eight trillion, seventy-three billion, four hundred four million, three hundred forty thousand, four hundred eighty".