36075904800 has 288 divisors, whose sum is σ = 131960803968. Its totient is φ = 8493957120.

The previous prime is 36075904783. The next prime is 36075904807. The reversal of 36075904800 is 840957063.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (36075904807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 692464 + ... + 742736.

It is an arithmetic number, because the mean of its divisors is an integer number (458197236).

Almost surely, 2^36075904800 is an apocalyptic number.

36075904800 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 36075904800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65980401984).

36075904800 is an abundant number, since it is smaller than the sum of its proper divisors (95884899168).

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

36075904800 is a wasteful number, since it uses less digits than its factorization.

36075904800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50332 (or 50319 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 36075904800 in words is "thirty-six billion, seventy-five million, nine hundred four thousand, eight hundred".