36543010400 has 144 divisors (see below), whose sum is σ = 96175594368. Its totient is φ = 13478400000.

The previous prime is 36543010391. The next prime is 36543010423. The reversal of 36543010400 is 401034563.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 36543010400.

It is a congruent number.

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, 18729425 + ... + 18731375.

It is an arithmetic number, because the mean of its divisors is an integer number (667886072).

Almost surely, 2^36543010400 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 36543010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48087797184).

36543010400 is an abundant number, since it is smaller than the sum of its proper divisors (59632583968).

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

36543010400 is a wasteful number, since it uses less digits than its factorization.

36543010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3785 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 36543010400 its reverse (401034563), we get a palindrome (36944044963).

The spelling of 36543010400 in words is "thirty-six billion, five hundred forty-three million, ten thousand, four hundred".