8686388400 has 120 divisors (see below), whose sum is σ = 28085863104. Its totient is φ = 2294688000.

The previous prime is 8686388377. The next prime is 8686388423. The reversal of 8686388400 is 48836868.

It is an interprime number because it is at equal distance from previous prime (8686388377) and next prime (8686388423).

It is a tau number, because it is divible by the number of its divisors (120).

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, 94575 + ... + 162225.

Almost surely, 2^8686388400 is an apocalyptic number.

8686388400 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 8686388400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14042931552).

8686388400 is an abundant number, since it is smaller than the sum of its proper divisors (19399474704).

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

8686388400 is a wasteful number, since it uses less digits than its factorization.

8686388400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67779 (or 67768 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The square root of 8686388400 is about 93200.7961339387. The cubic root of 8686388400 is about 2055.6369465486.

The spelling of 8686388400 in words is "eight billion, six hundred eighty-six million, three hundred eighty-eight thousand, four hundred".