8541005364 has 96 divisors (see below), whose sum is σ = 23022787200. Its totient is φ = 2736011520.

The previous prime is 8541005287. The next prime is 8541005387. The reversal of 8541005364 is 4635001458.

It is a happy number.

8541005364 is a `hidden beast` number, since 8 + 541 + 0 + 0 + 53 + 64 = 666.

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 31 ways as a sum of consecutive naturals, for example, 282282 + ... + 311070.

It is an arithmetic number, because the mean of its divisors is an integer number (239820700).

Almost surely, 2^8541005364 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 8541005364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11511393600).

8541005364 is an abundant number, since it is smaller than the sum of its proper divisors (14481781836).

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

8541005364 is a wasteful number, since it uses less digits than its factorization.

8541005364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28910 (or 28902 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 8541005364 is about 92417.5598249597. The cubic root of 8541005364 is about 2044.1040476776.

The spelling of 8541005364 in words is "eight billion, five hundred forty-one million, five thousand, three hundred sixty-four".