8263772160 has 384 divisors, whose sum is σ = 30644490240. Its totient is φ = 1862074368.

The previous prime is 8263772117. The next prime is 8263772171. The reversal of 8263772160 is 612773628.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17848089 + ... + 17848551.

It is an arithmetic number, because the mean of its divisors is an integer number (79803360).

Almost surely, 2^8263772160 is an apocalyptic number.

8263772160 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 8263772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15322245120).

8263772160 is an abundant number, since it is smaller than the sum of its proper divisors (22380718080).

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

8263772160 is a wasteful number, since it uses less digits than its factorization.

8263772160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 8263772160 is about 90905.2922551817. The cubic root of 8263772160 is about 2021.7437610724.

The spelling of 8263772160 in words is "eight billion, two hundred sixty-three million, seven hundred seventy-two thousand, one hundred sixty".