8270073756800 has 384 divisors, whose sum is σ = 21475231449600. Its totient is φ = 3143046758400.

The previous prime is 8270073756797. The next prime is 8270073756821. The reversal of 8270073756800 is 86573700728.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1658323907 + ... + 1658328893.

It is an arithmetic number, because the mean of its divisors is an integer number (55925081900).

Almost surely, 2^{8270073756800} is an apocalyptic number.

8270073756800 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 8270073756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10737615724800).

8270073756800 is an abundant number, since it is smaller than the sum of its proper divisors (13205157692800).

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

8270073756800 is a wasteful number, since it uses less digits than its factorization.

8270073756800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5344 (or 5327 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 53.

The spelling of 8270073756800 in words is "eight trillion, two hundred seventy billion, seventy-three million, seven hundred fifty-six thousand, eight hundred".