8049456980320 has 384 divisors, whose sum is σ = 23435484226560. Its totient is φ = 2553908797440.

The previous prime is 8049456980269. The next prime is 8049456980339. The reversal of 8049456980320 is 230896549408.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80467935 + ... + 80567905.

It is an arithmetic number, because the mean of its divisors is an integer number (61029906840).

Almost surely, 2^{8049456980320} is an apocalyptic number.

8049456980320 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 8049456980320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11717742113280).

8049456980320 is an abundant number, since it is smaller than the sum of its proper divisors (15386027246240).

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

8049456980320 is a wasteful number, since it uses less digits than its factorization.

8049456980320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100126 (or 100118 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 58.

The spelling of 8049456980320 in words is "eight trillion, forty-nine billion, four hundred fifty-six million, nine hundred eighty thousand, three hundred twenty".