8264900160 has 504 divisors, whose sum is σ = 32141681208. Its totient is φ = 1946419200.

The previous prime is 8264900129. The next prime is 8264900177. The reversal of 8264900160 is 610094628.

8264900160 is a `hidden beast` number, since 8 + 2 + 6 + 490 + 0 + 160 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4115479104 + 4149421056 = 64152^2 + 64416^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12893440 + ... + 12894080.

It is an arithmetic number, because the mean of its divisors is an integer number (63773177).

Almost surely, 2^8264900160 is an apocalyptic number.

8264900160 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 8264900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070840604).

8264900160 is an abundant number, since it is smaller than the sum of its proper divisors (23876781048).

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

8264900160 is a wasteful number, since it uses less digits than its factorization.

8264900160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8264900160 is about 90911.4963027229. The cubic root of 8264900160 is about 2021.8357458288.

Adding to 8264900160 its reverse (610094628), we get a palindrome (8874994788).

The spelling of 8264900160 in words is "eight billion, two hundred sixty-four million, nine hundred thousand, one hundred sixty".