36442788480 has 768 divisors, whose sum is σ = 154435507200. Its totient is φ = 7729053696.

The previous prime is 36442788457. The next prime is 36442788509. The reversal of 36442788480 is 8488724463.

It is a happy number.

36442788480 is a `hidden beast` number, since 3 + 64 + 4 + 27 + 88 + 480 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54149424 + ... + 54150096.

It is an arithmetic number, because the mean of its divisors is an integer number (201087900).

Almost surely, 2^36442788480 is an apocalyptic number.

36442788480 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 36442788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77217753600).

36442788480 is an abundant number, since it is smaller than the sum of its proper divisors (117992718720).

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

36442788480 is a wasteful number, since it uses less digits than its factorization.

36442788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 36442788480 in words is "thirty-six billion, four hundred forty-two million, seven hundred eighty-eight thousand, four hundred eighty".