8670266400 has 144 divisors (see below), whose sum is σ = 28273377888. Its totient is φ = 2307840000.

The previous prime is 8670266399. The next prime is 8670266411. The reversal of 8670266400 is 46620768.

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, 1439395 + ... + 1445405.

It is an arithmetic number, because the mean of its divisors is an integer number (196342902).

Almost surely, 2^8670266400 is an apocalyptic number.

8670266400 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 8670266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14136688944).

8670266400 is an abundant number, since it is smaller than the sum of its proper divisors (19603111488).

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

8670266400 is a wasteful number, since it uses less digits than its factorization.

8670266400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6635 (or 6622 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 8670266400 is about 93114.2652873339. The cubic root of 8670266400 is about 2054.3643999009.

The spelling of 8670266400 in words is "eight billion, six hundred seventy million, two hundred sixty-six thousand, four hundred".