8263764898560 has 432 divisors, whose sum is σ = 29102197531680. Its totient is φ = 2164396523520.

The previous prime is 8263764898553. The next prime is 8263764898561. The reversal of 8263764898560 is 658984673628.

8263764898560 is a `hidden beast` number, since 8 + 2 + 6 + 3 + 7 + 6 + 489 + 85 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (8263764898561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 867946600 + ... + 867956120.

It is an arithmetic number, because the mean of its divisors is an integer number (67366197990).

Almost surely, 2^{8263764898560} is an apocalyptic number.

8263764898560 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 8263764898560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14551098765840).

8263764898560 is an abundant number, since it is smaller than the sum of its proper divisors (20838432633120).

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

8263764898560 is a wasteful number, since it uses less digits than its factorization.

8263764898560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10884 (or 10867 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 8263764898560 in words is "eight trillion, two hundred sixty-three billion, seven hundred sixty-four million, eight hundred ninety-eight thousand, five hundred sixty".