8072189706240 has 864 divisors, whose sum is σ = 31696858408320. Its totient is φ = 1956894474240.

The previous prime is 8072189706233. The next prime is 8072189706281. The reversal of 8072189706240 is 426079812708.

It is a happy number.

8072189706240 is a `hidden beast` number, since 8 + 0 + 7 + 2 + 1 + 8 + 9 + 7 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 31 ways as a sum of consecutive naturals, for example, 733835427835 + ... + 733835427845.

Almost surely, 2^{8072189706240} is an apocalyptic number.

8072189706240 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 8072189706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15848429204160).

8072189706240 is an abundant number, since it is smaller than the sum of its proper divisors (23624668702080).

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

8072189706240 is an frugal number, since it uses more digits than its factorization.

8072189706240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 8072189706240 in words is "eight trillion, seventy-two billion, one hundred eighty-nine million, seven hundred six thousand, two hundred forty".