8636643400 has 384 divisors, whose sum is σ = 26284032000. Its totient is φ = 2560896000.

The previous prime is 8636643397. The next prime is 8636643409. The reversal of 8636643400 is 43466368.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (8636643409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37714486 + ... + 37714714.

It is an arithmetic number, because the mean of its divisors is an integer number (68448000).

Almost surely, 2^8636643400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8636643400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13142016000).

8636643400 is an abundant number, since it is smaller than the sum of its proper divisors (17647388600).

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

8636643400 is a wasteful number, since it uses less digits than its factorization.

8636643400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The square root of 8636643400 is about 92933.5429218105. The cubic root of 8636643400 is about 2051.7053744979.

The spelling of 8636643400 in words is "eight billion, six hundred thirty-six million, six hundred forty-three thousand, four hundred".