36000042624 has 512 divisors, whose sum is σ = 132056870400. Its totient is φ = 9401204736.

The previous prime is 36000042619. The next prime is 36000042647. The reversal of 36000042624 is 42624000063.

36000042624 is a `hidden beast` number, since 36 + 0 + 0 + 0 + 0 + 4 + 2 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35537542 + ... + 35538554.

It is an arithmetic number, because the mean of its divisors is an integer number (257923575).

Almost surely, 2^36000042624 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 36000042624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66028435200).

36000042624 is an abundant number, since it is smaller than the sum of its proper divisors (96056827776).

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

36000042624 is a wasteful number, since it uses less digits than its factorization.

36000042624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 36000042624 its reverse (42624000063), we get a palindrome (78624042687).

The spelling of 36000042624 in words is "thirty-six billion, forty-two thousand, six hundred twenty-four".