8270071729920 has 5184 divisors, whose sum is σ = 42000593402880. Its totient is φ = 1521657446400.

The previous prime is 8270071729877. The next prime is 8270071729949. The reversal of 8270071729920 is 299271700728.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 116479883485 + ... + 116479883555.

It is an arithmetic number, because the mean of its divisors is an integer number (8101966320).

Almost surely, 2^{8270071729920} is an apocalyptic number.

8270071729920 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 8270071729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21000296701440).

8270071729920 is an abundant number, since it is smaller than the sum of its proper divisors (33730521672960).

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

8270071729920 is a wasteful number, since it uses less digits than its factorization.

8270071729920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 8270071729920 in words is "eight trillion, two hundred seventy billion, seventy-one million, seven hundred twenty-nine thousand, nine hundred twenty".