36406627200 has 384 divisors, whose sum is σ = 134564601600. Its totient is φ = 9611827200.

The previous prime is 36406627193. The next prime is 36406627211. The reversal of 36406627200 is 272660463.

It is a happy number.

36406627200 is a `hidden beast` number, since 3 + 6 + 4 + 0 + 6 + 627 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8897155 + ... + 8901245.

It is an arithmetic number, because the mean of its divisors is an integer number (350428650).

Almost surely, 2^36406627200 is an apocalyptic number.

36406627200 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 36406627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67282300800).

36406627200 is an abundant number, since it is smaller than the sum of its proper divisors (98157974400).

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

36406627200 is a wasteful number, since it uses less digits than its factorization.

36406627200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4227 (or 4204 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 36406627200 in words is "thirty-six billion, four hundred six million, six hundred twenty-seven thousand, two hundred".