36033004560 has 240 divisors, whose sum is σ = 130183739136. Its totient is φ = 8220635136.

The previous prime is 36033004559. The next prime is 36033004591. The reversal of 36033004560 is 6540033063.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6971097 + ... + 6976263.

Almost surely, 2^36033004560 is an apocalyptic number.

36033004560 is a gapful number since it is divisible by the number (30) 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 36033004560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65091869568).

36033004560 is an abundant number, since it is smaller than the sum of its proper divisors (94150734576).

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

36033004560 is a wasteful number, since it uses less digits than its factorization.

36033004560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5790 (or 5777 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

The spelling of 36033004560 in words is "thirty-six billion, thirty-three million, four thousand, five hundred sixty".