8690400000 has 648 divisors, whose sum is σ = 33628035168. Its totient is φ = 2150400000.

The previous prime is 8690399989. The next prime is 8690400001. The reversal of 8690400000 is 40968.

It is not an unprimeable number, because it can be changed into a prime (8690400001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 122399965 + ... + 122400035.

It is an arithmetic number, because the mean of its divisors is an integer number (51895116).

Almost surely, 2^8690400000 is an apocalyptic number.

8690400000 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 8690400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16814017584).

8690400000 is an abundant number, since it is smaller than the sum of its proper divisors (24937635168).

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

8690400000 is an equidigital number, since it uses as much as digits as its factorization.

8690400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8690400000 is about 93222.3149251294. The cubic root of 8690400000 is about 2055.9533467084.

Adding to 8690400000 its reverse (40968), we get a palindrome (8690440968).

The spelling of 8690400000 in words is "eight billion, six hundred ninety million, four hundred thousand".