8192268720 has 280 divisors, whose sum is σ = 30240984096. Its totient is φ = 2055849984.

The previous prime is 8192268691. The next prime is 8192268727. The reversal of 8192268720 is 278622918.

It is a super-3 number, since 3×8192268720³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8192268727) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 987309 + ... + 995571.

Almost surely, 2^8192268720 is an apocalyptic number.

8192268720 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 8192268720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120492048).

8192268720 is an abundant number, since it is smaller than the sum of its proper divisors (22048715376).

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

8192268720 is a wasteful number, since it uses less digits than its factorization.

8192268720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8311 (or 8290 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 8192268720 is about 90511.1524620033. The cubic root of 8192268720 is about 2015.8957216471.

The spelling of 8192268720 in words is "eight billion, one hundred ninety-two million, two hundred sixty-eight thousand, seven hundred twenty".