36464284800 has 288 divisors, whose sum is σ = 133290726660. Its totient is φ = 9486336000.

The previous prime is 36464284783. The next prime is 36464284811. The reversal of 36464284800 is 848246463.

36464284800 is a `hidden beast` number, since 36 + 464 + 2 + 84 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 13812830784 + 22651454016 = 117528^2 + 150504^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×36464284800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1165360 + ... + 1196240.

Almost surely, 2^36464284800 is an apocalyptic number.

36464284800 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 36464284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66645363330).

36464284800 is an abundant number, since it is smaller than the sum of its proper divisors (96826441860).

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

36464284800 is a wasteful number, since it uses less digits than its factorization.

36464284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30952 (or 30932 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 36464284800 in words is "thirty-six billion, four hundred sixty-four million, two hundred eighty-four thousand, eight hundred".