8400266000 has 120 divisors (see below), whose sum is σ = 23628338136. Its totient is φ = 2880057600.

The previous prime is 8400265969. The next prime is 8400266027. The reversal of 8400266000 is 6620048.

It can be written as a sum of positive squares in 4 ways, for example, as 1121446144 + 7278819856 = 33488^2 + 85316^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55142 + ... + 140858.

Almost surely, 2^8400266000 is an apocalyptic number.

8400266000 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 8400266000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11814169068).

8400266000 is an abundant number, since it is smaller than the sum of its proper divisors (15228072136).

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

8400266000 is a wasteful number, since it uses less digits than its factorization.

8400266000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85754 (or 85731 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 8400266000 is about 91652.9650365988. The cubic root of 8400266000 is about 2032.8141706596.

Adding to 8400266000 its reverse (6620048), we get a palindrome (8406886048).

The spelling of 8400266000 in words is "eight billion, four hundred million, two hundred sixty-six thousand".