8436827030400 has 576 divisors, whose sum is σ = 31286072563200. Its totient is φ = 2245024512000.

The previous prime is 8436827030339. The next prime is 8436827030407. The reversal of 8436827030400 is 40307286348.

8436827030400 is a `hidden beast` number, since 8 + 436 + 82 + 70 + 30 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8436827030407) 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, 372459075 + ... + 372481725.

It is an arithmetic number, because the mean of its divisors is an integer number (54316098200).

Almost surely, 2^{8436827030400} is an apocalyptic number.

8436827030400 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 8436827030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15643036281600).

8436827030400 is an abundant number, since it is smaller than the sum of its proper divisors (22849245532800).

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

8436827030400 is a wasteful number, since it uses less digits than its factorization.

8436827030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23169 (or 23140 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 8436827030400 in words is "eight trillion, four hundred thirty-six billion, eight hundred twenty-seven million, thirty thousand, four hundred".