36644613350400 has 3168 divisors, whose sum is σ = 156964441061376. Its totient is φ = 8068792320000.

The previous prime is 36644613350377. The next prime is 36644613350441. The reversal of 36644613350400 is 405331644663.

36644613350400 is a `hidden beast` number, since 3 + 6 + 6 + 4 + 4 + 6 + 133 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 191856614305 + ... + 191856614495.

Almost surely, 2^{36644613350400} is an apocalyptic number.

36644613350400 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 36644613350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78482220530688).

36644613350400 is an abundant number, since it is smaller than the sum of its proper divisors (120319827710976).

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

36644613350400 is a wasteful number, since it uses less digits than its factorization.

36644613350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 36644613350400 in words is "thirty-six trillion, six hundred forty-four billion, six hundred thirteen million, three hundred fifty thousand, four hundred".