8651318400 has 240 divisors, whose sum is σ = 31926223890. Its totient is φ = 2306949120.

The previous prime is 8651318383. The next prime is 8651318437. The reversal of 8651318400 is 48131568.

It can be written as a sum of positive squares in 3 ways, for example, as 7254950976 + 1396367424 = 85176^2 + 37368^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 242512 + ... + 275888.

Almost surely, 2^8651318400 is an apocalyptic number.

8651318400 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 8651318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15963111945).

8651318400 is an abundant number, since it is smaller than the sum of its proper divisors (23274905490).

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

8651318400 is a wasteful number, since it uses less digits than its factorization.

8651318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33413 (or 33387 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 8651318400 is about 93012.4636809498. The cubic root of 8651318400 is about 2052.8667724273.

Adding to 8651318400 its reverse (48131568), we get a palindrome (8699449968).

The spelling of 8651318400 in words is "eight billion, six hundred fifty-one million, three hundred eighteen thousand, four hundred".