8268900480 has 96 divisors (see below), whose sum is σ = 28553566860. Its totient is φ = 2205038592.

The previous prime is 8268900443. The next prime is 8268900503. The reversal of 8268900480 is 840098628.

It is a happy number.

8268900480 is a `hidden beast` number, since 82 + 6 + 8 + 90 + 0 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7703221824 + 565678656 = 87768^2 + 23784^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 712027 + ... + 723546.

Almost surely, 2^8268900480 is an apocalyptic number.

8268900480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8268900480 is an abundant number, since it is smaller than the sum of its proper divisors (20284666380).

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

8268900480 is a wasteful number, since it uses less digits than its factorization.

8268900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435598 (or 1435583 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 8268900480 is about 90933.4948190159. The cubic root of 8268900480 is about 2022.1618915481.

The spelling of 8268900480 in words is "eight billion, two hundred sixty-eight million, nine hundred thousand, four hundred eighty".